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12886902279432 = 233376771777137
BaseRepresentation
bin1011101110000111011100…
…1110111000110100001000
31200121222100101012001011000
42323201313032320310020
53142114333440420212
643224054451535000
72500022311005546
oct273416716706410
950558311161130
1012886902279432
114119339415345
1215416995ba460
137262ca780b7c
14327a2d67cd96
151753406461dc
hexbb8773b8d08

12886902279432 has 64 divisors (see below), whose sum is σ = 35797463121600. Its totient is φ = 4295572611840.

The previous prime is 12886902279431. The next prime is 12886902279443. The reversal of 12886902279432 is 23497220968821.

12886902279432 is a `hidden beast` number, since 1 + 28 + 8 + 6 + 90 + 22 + 79 + 432 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12886902279432.

It is not an unprimeable number, because it can be changed into a prime (12886902279431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16193968 + ... + 16971104.

It is an arithmetic number, because the mean of its divisors is an integer number (559335361275).

Almost surely, 212886902279432 is an apocalyptic number.

12886902279432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12886902279432 is an abundant number, since it is smaller than the sum of its proper divisors (22910560842168).

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

12886902279432 is a wasteful number, since it uses less digits than its factorization.

12886902279432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853923 (or 853913 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 12886902279432 in words is "twelve trillion, eight hundred eighty-six billion, nine hundred two million, two hundred seventy-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 76771 153542 230313 307084 460626 614168 690939 777137 921252 1381878 1554274 1842504 2072817 2331411 2763756 3108548 4145634 4662822 5527512 6217096 6994233 8291268 9325644 13988466 16582536 18651288 20982699 27976932 41965398 55953864 83930796 167861592 59661584627 119323169254 178984753881 238646338508 357969507762 477292677016 536954261643 715939015524 1073908523286 1431878031048 1610862784929 2147817046572 3221725569858 4295634093144 6443451139716 12886902279432