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1113697085256 = 2332725359157643
BaseRepresentation
bin10000001101001101100…
…001001110011101001000
310221110122110112210101200
4100031031201032131020
5121221322423212011
62211343025344200
7143314311013500
oct20151541163510
93843573483350
101113697085256
1139a352a74968
1215ba12a98060
1381037708752
143bc9064ca00
151de831eb856
hex1034d84e748

1113697085256 has 576 divisors, whose sum is σ = 3664354075200. Its totient is φ = 304474899456.

The previous prime is 1113697085231. The next prime is 1113697085339. The reversal of 1113697085256 is 6525807963111.

1113697085256 is a `hidden beast` number, since 1 + 11 + 36 + 9 + 70 + 8 + 525 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1732032471 + ... + 1732033113.

It is an arithmetic number, because the mean of its divisors is an integer number (6361725825).

Almost surely, 21113697085256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113697085256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832177037600).

1113697085256 is an abundant number, since it is smaller than the sum of its proper divisors (2550656989944).

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

1113697085256 is a wasteful number, since it uses less digits than its factorization.

1113697085256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 1113697085256 in words is "one trillion, one hundred thirteen billion, six hundred ninety-seven million, eighty-five thousand, two hundred fifty-six".