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31375897664 = 268923472
BaseRepresentation
bin11101001110001001…
…100011010001000000
32222222122021202010212
4131032021203101000
51003224212211124
622225222213252
72160344505206
oct351611432100
988878252125
1031375897664
1112340970341
1260b7884228
132c60455127
141739085076
15c3980c40e
hex74e263440

31375897664 has 42 divisors (see below), whose sum is σ = 62987952510. Its totient is φ = 15505070592.

The previous prime is 31375897577. The next prime is 31375897667. The reversal of 31375897664 is 46679857313.

It can be written as a sum of positive squares in only one way, i.e., 22562443264 + 8813454400 = 150208^2 + 93880^2 .

It is not an unprimeable number, because it can be changed into a prime (31375897667) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13367339 + ... + 13369685.

It is an arithmetic number, because the mean of its divisors is an integer number (1499713155).

Almost surely, 231375897664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31375897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31493976255).

31375897664 is an abundant number, since it is smaller than the sum of its proper divisors (31612054846).

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

31375897664 is an frugal number, since it uses more digits than its factorization.

31375897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4795 (or 2438 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 59.

The spelling of 31375897664 in words is "thirty-one billion, three hundred seventy-five million, eight hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 2347 2848 4694 5696 9388 18776 37552 75104 150208 208883 417766 835532 1671064 3342128 5508409 6684256 11016818 13368512 22033636 44067272 88134544 176269088 352538176 490248401 980496802 1960993604 3921987208 7843974416 15687948832 31375897664