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10456705904 = 241861351179
BaseRepresentation
bin10011011110100010…
…01010101101110000
3222222202010200211212
421233101022231300
5132403404042104
64445335255252
7520061351021
oct115721125560
928882120755
1010456705904
1144865a0a07
122039b1a528
13ca84c4558
14712a88c48
1541302336e
hex26f44ab70

10456705904 has 20 divisors (see below), whose sum is σ = 20270811960. Its totient is φ = 5225528640.

The previous prime is 10456705873. The next prime is 10456705907. The reversal of 10456705904 is 40950765401.

10456705904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10456705907) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 145814 + ... + 205365.

It is an arithmetic number, because the mean of its divisors is an integer number (1013540598).

Almost surely, 210456705904 is an apocalyptic number.

It is an amenable number.

10456705904 is a deficient number, since it is larger than the sum of its proper divisors (9814106056).

10456705904 is a wasteful number, since it uses less digits than its factorization.

10456705904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353048 (or 353042 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 10456705904 in words is "ten billion, four hundred fifty-six million, seven hundred five thousand, nine hundred four".

Divisors: 1 2 4 8 16 1861 3722 7444 14888 29776 351179 702358 1404716 2809432 5618864 653544119 1307088238 2614176476 5228352952 10456705904