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12638765376 = 2632175312517
BaseRepresentation
bin10111100010101010…
…00100000101000000
31012121211001210201100
423301111010011000
5201341010443001
65450044334400
7625125506316
oct136125040500
935554053640
1012638765376
1153a6287546
122548844400
1312655b3cc3
1487c7b60b6
154de899586
hex2f1544140

12638765376 has 84 divisors (see below), whose sum is σ = 36250300372. Its totient is φ = 4210182144.

The previous prime is 12638765369. The next prime is 12638765431. The reversal of 12638765376 is 67356783621.

12638765376 is a `hidden beast` number, since 1 + 2 + 6 + 38 + 76 + 537 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5802782976 + 6835982400 = 76176^2 + 82680^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003470 + ... + 1015986.

Almost surely, 212638765376 is an apocalyptic number.

12638765376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12638765376 is an abundant number, since it is smaller than the sum of its proper divisors (23611534996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12638765376 is a wasteful number, since it uses less digits than its factorization.

12638765376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14288 (or 14275 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 12638765376 in words is "twelve billion, six hundred thirty-eight million, seven hundred sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1753 3506 5259 7012 10518 12517 14024 15777 21036 25034 28048 31554 37551 42072 50068 56096 63108 75102 84144 100136 112192 112653 126216 150204 168288 200272 225306 252432 300408 336576 400544 450612 504864 600816 801088 901224 1009728 1201632 1802448 2403264 3604896 7209792 21942301 43884602 65826903 87769204 131653806 175538408 197480709 263307612 351076816 394961418 526615224 702153632 789922836 1053230448 1404307264 1579845672 2106460896 3159691344 4212921792 6319382688 12638765376