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10131825584 = 242921835831
BaseRepresentation
bin10010110111110011…
…10110001110110000
3222011002211001211102
421123321312032300
5131222221404314
64353212103532
7506035045046
oct113371661660
928132731742
1010131825584
11432a173581
121b69164ba8
13c560c4b8a
146c187a396
153e474c5de
hex25be763b0

10131825584 has 20 divisors (see below), whose sum is σ = 20307323760. Its totient is φ = 4891225920.

The previous prime is 10131825581. The next prime is 10131825607. The reversal of 10131825584 is 48552813101.

It is not an unprimeable number, because it can be changed into a prime (10131825581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10917452 + ... + 10918379.

It is an arithmetic number, because the mean of its divisors is an integer number (1015366188).

Almost surely, 210131825584 is an apocalyptic number.

It is an amenable number.

10131825584 is an abundant number, since it is smaller than the sum of its proper divisors (10175498176).

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

10131825584 is a wasteful number, since it uses less digits than its factorization.

10131825584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21835868 (or 21835862 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 38.

The spelling of 10131825584 in words is "ten billion, one hundred thirty-one million, eight hundred twenty-five thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 21835831 43671662 87343324 174686648 349373296 633239099 1266478198 2532956396 5065912792 10131825584