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31986040840 = 23513120151217
BaseRepresentation
bin11101110010100001…
…000100000000001000
310001120011101020020021
4131302201010000020
51011001411301330
622405535510224
72211433601245
oct356241040010
9101504336207
1031986040840
11126243169a6
126248088374
1330299927b0
14179610c5cc
15c7318067a
hex772844008

31986040840 has 64 divisors (see below), whose sum is σ = 77570685360. Its totient is φ = 11800166400.

The previous prime is 31986040837. The next prime is 31986040859. The reversal of 31986040840 is 4804068913.

It can be written as a sum of positive squares in 8 ways, for example, as 123076836 + 31862964004 = 11094^2 + 178502^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598912 + ... + 650128.

Almost surely, 231986040840 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 31986040840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38785342680).

31986040840 is an abundant number, since it is smaller than the sum of its proper divisors (45584644520).

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

31986040840 is a wasteful number, since it uses less digits than its factorization.

31986040840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52442 (or 52438 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 31986040840 in words is "thirty-one billion, nine hundred eighty-six million, forty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1201 2402 4804 6005 9608 12010 15613 24020 31226 48040 51217 62452 78065 102434 124904 156130 204868 256085 312260 409736 512170 624520 665821 1024340 1331642 2048680 2663284 3329105 5326568 6658210 13316420 26632840 61511617 123023234 246046468 307558085 492092936 615116170 799651021 1230232340 1599302042 2460464680 3198604084 3998255105 6397208168 7996510210 15993020420 31986040840