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256506446001132 = 223229245695829503
BaseRepresentation
bin111010010100101010001111…
…100110001011001111101100
31020122012202222020211101001200
4322110222033212023033230
5232110100200134014012
62305313233505205500
7105012656565400635
oct7224521746131754
91218182866741050
10256506446001132
1174804855727348
1224928801930890
13b0185b9784c62
14474ad9a38a88c
151e9c4c46513dc
hexe94a8f98b3ec

256506446001132 has 36 divisors (see below), whose sum is σ = 670749614545920. Its totient is φ = 82553798712672.

The previous prime is 256506446001083. The next prime is 256506446001167. The reversal of 256506446001132 is 231100644605652.

256506446001132 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 0 + 6 + 4 + 4 + 600 + 1 + 1 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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, 122847913708 + ... + 122847915795.

Almost surely, 2256506446001132 is an apocalyptic number.

It is an amenable number.

256506446001132 is an abundant number, since it is smaller than the sum of its proper divisors (414243168544788).

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

256506446001132 is a wasteful number, since it uses less digits than its factorization.

256506446001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245695829542 (or 245695829537 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 256506446001132 in words is "two hundred fifty-six trillion, five hundred six billion, four hundred forty-six million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 245695829503 491391659006 737087488509 982783318012 1474174977018 2211262465527 2948349954036 4422524931054 7125179055587 8845049862108 14250358111174 21375537166761 28500716222348 42751074333522 64126611500283 85502148667044 128253223000566 256506446001132