Number

64,013

64,013 is a prime, odd.

Arithmetic Number Balanced Prime Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Properties

Parity: Odd
Digit count: 5
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 16 bits
Reversed: 31,046
Recamán's sequence: a(286,874) = 64,013
Square (n²): 4,097,664,169
Cube (n³): 262,303,776,450,197
Divisor count: 2
σ(n) — sum of divisors: 64,014
φ(n) — Euler's totient: 64,012

Primality

64,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 64013

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 64,013)

1 × 64013

First multiples

64,013 · 128,026 (double) · 192,039 · 256,052 · 320,065 · 384,078 · 448,091 · 512,104 · 576,117 · 640,130

Sums & aliquot sequence

As a sum of two squares: 2² + 253²

As consecutive integers: 32,006 + 32,007

Representations

In words: sixty-four thousand thirteen
Ordinal: 64013th
Binary: 1111101000001101
Octal: 175015
Hexadecimal: 0xFA0D
Base64: +g0=
One's complement: 1,522 (16-bit)

In other bases

ternary (3) 10020210212

quaternary (4) 33220031

quinary (5) 4022023

senary (6) 1212205

septenary (7) 354425

nonary (9) 106725

undecimal (11) 44104

duodecimal (12) 31065

tridecimal (13) 231a1

tetradecimal (14) 19485

pentadecimal (15) 13e78

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ξδιγʹ
Mayan (base 20): 𝋨·𝋠·𝋠·𝋭
Chinese: 六萬四千零一十三
Chinese (financial): 陸萬肆仟零壹拾參

In other modern scripts

Eastern Arabic ٦٤٠١٣ Devanagari ६४०१३ Bengali ৬৪০১৩ Tamil ௬௪௦௧௩ Thai ๖๔๐๑๓ Tibetan ༦༤༠༡༣ Khmer ៦៤០១៣ Lao ໖໔໐໑໓ Burmese ၆၄၀၁၃

Digit at this position in famous constants

π — Pi (π): Digit 64,013 = 8
e — Euler's number (e): Digit 64,013 = 1
φ — Golden ratio (φ): Digit 64,013 = 4
√2 — Pythagoras's (√2): Digit 64,013 = 0
ln 2 — Natural log of 2: Digit 64,013 = 4
γ — Euler-Mascheroni (γ): Digit 64,013 = 9

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 64,007 (gap of 6)
Next prime: 64,019 (gap of 6)

Pair status: sexy with 64007, sexy with 64019.

Unicode codepoint

嗀

CJK Compatibility Ideograph-Fa0D

U+FA0D

Other letter (Lo)

UTF-8 encoding: EF A8 8D (3 bytes).

Lookup U+FA0D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00FA0D

RGB(0, 250, 13)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.250.13.

Address: 0.0.250.13
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.250.13

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

Position in π

The digit sequence 64013 first appears in π at position 2,077 of the decimal expansion (the 2,077ordinal-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.

Look up 64013 on Pi Search ↗