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31957918002 = 2325693120281
BaseRepresentation
bin11101110000110101…
…110010000100110010
310001111012110102221200
4131300311302010302
51010422211334002
622403053032030
72210642551413
oct356065620462
9101435412850
1031957918002
111260a45888a
12623a785616
133023bc706a
1417924ab80a
15c70977b1c
hex770d72132

31957918002 has 24 divisors (see below), whose sum is σ = 69363868860. Its totient is φ = 10633914240.

The previous prime is 31957918001. The next prime is 31957918009. The reversal of 31957918002 is 20081975913.

It can be written as a sum of positive squares in 2 ways, for example, as 27024400881 + 4933517121 = 164391^2 + 70239^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (31957918001) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1549899 + ... + 1570382.

Almost surely, 231957918002 is an apocalyptic number.

31957918002 is an abundant number, since it is smaller than the sum of its proper divisors (37405950858).

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

31957918002 is a wasteful number, since it uses less digits than its factorization.

31957918002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120858 (or 3120855 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 31957918002 in words is "thirty-one billion, nine hundred fifty-seven million, nine hundred eighteen thousand, two".

Divisors: 1 2 3 6 9 18 569 1138 1707 3414 5121 10242 3120281 6240562 9360843 18721686 28082529 56165058 1775439889 3550879778 5326319667 10652639334 15978959001 31957918002