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9957605960 = 235248940149
BaseRepresentation
bin10010100011000010…
…10000001001001000
3221200221222210102202
421101201100021020
5130343121342320
64324030015332
7501521153111
oct112141201110
927627883382
109957605960
11424a899815
121b1a947548
13c28c96043
146a6689208
153d42d6b75
hex251850248

9957605960 has 16 divisors (see below), whose sum is σ = 22404613500. Its totient is φ = 3983042368.

The previous prime is 9957605951. The next prime is 9957605963. The reversal of 9957605960 is 695067599.

It can be written as a sum of positive squares in 2 ways, for example, as 9936501124 + 21104836 = 99682^2 + 4594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9957605896 and 9957605905.

It is not an unprimeable number, because it can be changed into a prime (9957605963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124470035 + ... + 124470114.

Almost surely, 29957605960 is an apocalyptic number.

It is an amenable number.

9957605960 is an abundant number, since it is smaller than the sum of its proper divisors (12447007540).

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

9957605960 is a wasteful number, since it uses less digits than its factorization.

9957605960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248940160 (or 248940156 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 56.

The square root of 9957605960 is about 99787.8046657005. The cubic root of 9957605960 is about 2151.3858712253.

The spelling of 9957605960 in words is "nine billion, nine hundred fifty-seven million, six hundred five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 248940149 497880298 995760596 1244700745 1991521192 2489401490 4978802980 9957605960