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66,112

66,112 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Deficient Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
16
Digit product
72
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
21,166
Recamán's sequence
a(133,167) = 66,112
Square (n²)
4,370,796,544
Cube (n³)
288,962,101,116,928
Divisor count
14
σ(n) — sum of divisors
131,318
φ(n) — Euler's totient
33,024
Sum of prime factors
1,045

Primality

Prime factorization: 2 6 × 1033

Nearest primes: 66,109 (−3) · 66,137 (+25)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 1033 · 2066 · 4132 · 8264 · 16528 · 33056 (half) · 66112
Aliquot sum (sum of proper divisors): 65,206
Factor pairs (a × b = 66,112)
1 × 66112
2 × 33056
4 × 16528
8 × 8264
16 × 4132
32 × 2066
64 × 1033
First multiples
66,112 · 132,224 (double) · 198,336 · 264,448 · 330,560 · 396,672 · 462,784 · 528,896 · 595,008 · 661,120

Sums & aliquot sequence

As a sum of two squares: 24² + 256²
As consecutive integers: 453 + 454 + … + 580
Aliquot sequence: 66,112 65,206 32,606 27,010 23,606 17,434 9,926 7,114 3,560 4,540 5,036 3,784 4,136 4,504 3,956 3,436 2,584 — unresolved within range

Representations

In words
sixty-six thousand one hundred twelve
Ordinal
66112th
Binary
10000001001000000
Octal
201100
Hexadecimal
0x10240
Base64
AQJA
One's complement
4,294,901,183 (32-bit)
In other bases
ternary (3) 10100200121
quaternary (4) 100021000
quinary (5) 4103422
senary (6) 1230024
septenary (7) 363514
nonary (9) 110617
undecimal (11) 45742
duodecimal (12) 32314
tridecimal (13) 24127
tetradecimal (14) 1a144
pentadecimal (15) 148c7

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ξϛριβʹ
Mayan (base 20)
𝋨·𝋥·𝋥·𝋬
Chinese
六萬六千一百一十二
Chinese (financial)
陸萬陸仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ٦٦١١٢ Devanagari ६६११२ Bengali ৬৬১১২ Tamil ௬௬௧௧௨ Thai ๖๖๑๑๒ Tibetan ༦༦༡༡༢ Khmer ៦៦១១២ Lao ໖໖໑໑໒ Burmese ၆၆၁၁၂

Digit at this position in famous constants

π — Pi (π)
Digit 66,112 = 1
e — Euler's number (e)
Digit 66,112 = 1
φ — Golden ratio (φ)
Digit 66,112 = 5
√2 — Pythagoras's (√2)
Digit 66,112 = 7
ln 2 — Natural log of 2
Digit 66,112 = 3
γ — Euler-Mascheroni (γ)
Digit 66,112 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 66112, here are decompositions:

  • 3 + 66109 = 66112
  • 5 + 66107 = 66112
  • 23 + 66089 = 66112
  • 29 + 66083 = 66112
  • 41 + 66071 = 66112
  • 71 + 66041 = 66112
  • 83 + 66029 = 66112
  • 131 + 65981 = 66112

Showing the first eight; more decompositions exist.

Hex color
#010240
RGB(1, 2, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.2.64.

Address
0.1.2.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.2.64

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000066112
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 66112 first appears in π at position 118,885 of the decimal expansion (the 118,885ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.