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10457972967 = 313317845909
BaseRepresentation
bin10011011110101100…
…00000000011100111
3222222211112001221010
421233112000003213
5132404220113332
64445422353303
7520105206051
oct115726000347
928884461833
1010457972967
114487286972
12203a42b833
13ca88491b0
14712cd88d1
154131c39cc
hex26f5800e7

10457972967 has 16 divisors (see below), whose sum is σ = 15063965280. Its totient is φ = 6415366272.

The previous prime is 10457972947. The next prime is 10457973007. The reversal of 10457972967 is 76927975401.

It is a happy number.

It is not a de Polignac number, because 10457972967 - 216 = 10457907431 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10457972927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410592 + ... + 435317.

It is an arithmetic number, because the mean of its divisors is an integer number (941497830).

Almost surely, 210457972967 is an apocalyptic number.

10457972967 is a deficient number, since it is larger than the sum of its proper divisors (4605992313).

10457972967 is a wasteful number, since it uses less digits than its factorization.

10457972967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846242.

The product of its (nonzero) digits is 6667920, while the sum is 57.

The spelling of 10457972967 in words is "ten billion, four hundred fifty-seven million, nine hundred seventy-two thousand, nine hundred sixty-seven".

Divisors: 1 3 13 39 317 951 4121 12363 845909 2537727 10996817 32990451 268153153 804459459 3485990989 10457972967