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132164055164664 = 2332432992759263
BaseRepresentation
bin11110000011001111010111…
…100011110110011011111000
3122022221202112020120222212200
4132003033113203312123320
5114310333441110232124
61145031155002310200
736560352331124325
oct3603172743663370
9568852466528780
10132164055164664
11391255086a3426
12129a63427b8360
13589902b250993
14248cabad55b4c
151042d55033bc9
hex7833d78f66f8

132164055164664 has 72 divisors (see below), whose sum is σ = 366462190916640. Its totient is φ = 43030157452128.

The previous prime is 132164055164593. The next prime is 132164055164677. The reversal of 132164055164664 is 466461550461231.

132164055164664 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 6 + 40 + 551 + 6 + 46 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 132164055164664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 496246504 + ... + 496512759.

It is an arithmetic number, because the mean of its divisors is an integer number (5089752651620).

Almost surely, 2132164055164664 is an apocalyptic number.

It is an amenable number.

132164055164664 is an abundant number, since it is smaller than the sum of its proper divisors (234298135751976).

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

132164055164664 is a wasteful number, since it uses less digits than its factorization.

132164055164664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992759361 (or 992759311 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 132164055164664 in words is "one hundred thirty-two trillion, one hundred sixty-four billion, fifty-five million, one hundred sixty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 1849 3096 3698 5547 7396 11094 14792 16641 22188 33282 44376 66564 133128 992759263 1985518526 2978277789 3971037052 5956555578 7942074104 8934833367 11913111156 17869666734 23826222312 35739333468 42688648309 71478666936 85377296618 128065944927 170754593236 256131889854 341509186472 384197834781 512263779708 768395669562 1024527559416 1536791339124 1835611877287 3073582678248 3671223754574 5506835631861 7342447509148 11013671263722 14684895018296 16520506895583 22027342527444 33041013791166 44054685054888 66082027582332 132164055164664