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10924296964 = 227255736209
BaseRepresentation
bin10100010110010001…
…11000101100000100
31001012022222210012021
422023020320230010
5134333110000324
65004001332524
7534466664200
oct121310705404
931168883167
1010924296964
1146a6531aa9
12214a637144
131051340059
14758c05b00
1543e0d8ae4
hex28b238b04

10924296964 has 18 divisors (see below), whose sum is σ = 22238747790. Its totient is φ = 4681841472.

The previous prime is 10924296961. The next prime is 10924296967. The reversal of 10924296964 is 46969242901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10924296961) and next prime (10924296967).

It can be written as a sum of positive squares in only one way, i.e., 6529932864 + 4394364100 = 80808^2 + 66290^2 .

It is not an unprimeable number, because it can be changed into a prime (10924296961) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 27867909 + ... + 27868300.

Almost surely, 210924296964 is an apocalyptic number.

10924296964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10924296964 is an abundant number, since it is smaller than the sum of its proper divisors (11314450826).

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

10924296964 is a wasteful number, since it uses less digits than its factorization.

10924296964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55736227 (or 55736218 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 10924296964 in words is "ten billion, nine hundred twenty-four million, two hundred ninety-six thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 55736209 111472418 222944836 390153463 780306926 1560613852 2731074241 5462148482 10924296964