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10456015401 = 321389367653
BaseRepresentation
bin10011011110011101…
…00010001000101001
3222222200211121122200
421233032202020221
5132403214443101
64445312410413
7520052443626
oct115716421051
928880747580
1010456015401
11448616a147
122039846a09
13ca8312180
1471294934d
15412e38986
hex26f3a2229

10456015401 has 12 divisors (see below), whose sum is σ = 16264913028. Its totient is φ = 6434470944.

The previous prime is 10456015397. The next prime is 10456015463. The reversal of 10456015401 is 10451065401.

10456015401 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 601 + 54 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1978025625 + 8477989776 = 44475^2 + 92076^2 .

It is not a de Polignac number, because 10456015401 - 22 = 10456015397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10456015301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44683710 + ... + 44683943.

It is an arithmetic number, because the mean of its divisors is an integer number (1355409419).

Almost surely, 210456015401 is an apocalyptic number.

It is an amenable number.

10456015401 is a deficient number, since it is larger than the sum of its proper divisors (5808897627).

10456015401 is a wasteful number, since it uses less digits than its factorization.

10456015401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89367672 (or 89367669 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10456015401 in words is "ten billion, four hundred fifty-six million, fifteen thousand, four hundred one".

Divisors: 1 3 9 13 39 117 89367653 268102959 804308877 1161779489 3485338467 10456015401