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23113202976 = 253280254177
BaseRepresentation
bin10101100001101001…
…110111110100100000
32012122210120100212200
4111201221313310200
5334313434443401
614341300053200
71445523661263
oct254151676440
965583510780
1023113202976
119890889546
124590694200
132244676386
141193958cda
15904221686
hex561a77d20

23113202976 has 36 divisors (see below), whose sum is σ = 65728171782. Its totient is φ = 7704400896.

The previous prime is 23113202969. The next prime is 23113203053. The reversal of 23113202976 is 67920231132.

23113202976 is a `hidden beast` number, since 231 + 132 + 0 + 297 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19286543376 + 3826659600 = 138876^2 + 61860^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23113202976.

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 5 ways as a sum of consecutive naturals, for example, 40126801 + ... + 40127376.

Almost surely, 223113202976 is an apocalyptic number.

It is an amenable number.

23113202976 is an abundant number, since it is smaller than the sum of its proper divisors (42614968806).

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

23113202976 is a wasteful number, since it uses less digits than its factorization.

23113202976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80254193 (or 80254182 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 23113202976 in words is "twenty-three billion, one hundred thirteen million, two hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 80254177 160508354 240762531 321016708 481525062 642033416 722287593 963050124 1284066832 1444575186 1926100248 2568133664 2889150372 3852200496 5778300744 7704400992 11556601488 23113202976