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13157406882 = 234701115861
BaseRepresentation
bin11000100000011111…
…00001100010100010
31020221221222112010000
430100033201202202
5203421244010012
610013332520430
7644024053554
oct142017414242
936857875100
1013157406882
115642016594
122672480116
131318b95079
148cb6214d4
15520195ddc
hex3103e18a2

13157406882 has 40 divisors (see below), whose sum is σ = 29524650012. Its totient is φ = 4379508000.

The previous prime is 13157406863. The next prime is 13157406929. The reversal of 13157406882 is 28860475131.

13157406882 is a `hidden beast` number, since 13 + 1 + 574 + 0 + 68 + 8 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12861601281 + 295805601 = 113409^2 + 17199^2 .

It is a super-3 number, since 3×131574068823 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55632 + ... + 171492.

Almost surely, 213157406882 is an apocalyptic number.

13157406882 is an abundant number, since it is smaller than the sum of its proper divisors (16367243130).

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

13157406882 is a wasteful number, since it uses less digits than its factorization.

13157406882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116576 (or 116567 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 13157406882 in words is "thirteen billion, one hundred fifty-seven million, four hundred six thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 701 1402 2103 4206 6309 12618 18927 37854 56781 113562 115861 231722 347583 695166 1042749 2085498 3128247 6256494 9384741 18769482 81218561 162437122 243655683 487311366 730967049 1461934098 2192901147 4385802294 6578703441 13157406882