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256168944192 = 2637190601893
BaseRepresentation
bin1110111010010011011…
…0111110001001000000
3220111012212001200122210
43232210312332021000
513144113222203232
6313403221302120
724336051045540
oct3564466761100
9814185050583
10256168944192
1199705766337
1241792564940
131b20615a525
14c581c3b320
1569e46c45cc
hex3ba4dbe240

256168944192 has 56 divisors (see below), whose sum is σ = 774606097216. Its totient is φ = 73191126528.

The previous prime is 256168944179. The next prime is 256168944203. The reversal of 256168944192 is 291449861652.

It is a happy number.

256168944192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95299603 + ... + 95302290.

It is an arithmetic number, because the mean of its divisors is an integer number (13832251736).

Almost surely, 2256168944192 is an apocalyptic number.

It is an amenable number.

256168944192 is an abundant number, since it is smaller than the sum of its proper divisors (518437153024).

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

256168944192 is a wasteful number, since it uses less digits than its factorization.

256168944192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190601915 (or 190601905 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The spelling of 256168944192 in words is "two hundred fifty-six billion, one hundred sixty-eight million, nine hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 190601893 381203786 571805679 762407572 1143611358 1334213251 1524815144 2287222716 2668426502 3049630288 4002639753 4574445432 5336853004 6099260576 8005279506 9148890864 10673706008 12198521152 16010559012 18297781728 21347412016 32021118024 36595563456 42694824032 64042236048 85389648064 128084472096 256168944192