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31117932384 = 2537116783757
BaseRepresentation
bin11100111110110001…
…011111011101100000
32222022122212202022020
4130332301133131200
51002212142314014
622143445141440
72151063026640
oct347661373540
988278782266
1031117932384
11122192971a0
1260453ba880
132c1bb84056
141712ad4520
15c21d531a9
hex73ec5f760

31117932384 has 384 divisors, whose sum is σ = 104744005632. Its totient is φ = 7855626240.

The previous prime is 31117932383. The next prime is 31117932389. The reversal of 31117932384 is 48323971113.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31117932383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41106534 + ... + 41107290.

It is an arithmetic number, because the mean of its divisors is an integer number (272770848).

Almost surely, 231117932384 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 31117932384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52372002816).

31117932384 is an abundant number, since it is smaller than the sum of its proper divisors (73626073248).

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

31117932384 is a wasteful number, since it uses less digits than its factorization.

31117932384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 930 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The spelling of 31117932384 in words is "thirty-one billion, one hundred seventeen million, nine hundred thirty-two thousand, three hundred eighty-four".