Search a number
-
+
31083855912 = 23328920992311
BaseRepresentation
bin11100111100101111…
…100000000000101000
32222020021202111011200
4130330233200000220
51002124431342122
622140230524200
72150200262424
oct347457400050
988207674150
1031083855912
111220103201a
126035b06660
132c14ab2765
14170c383b84
15c1dd715ac
hex73cbe0028

31083855912 has 96 divisors (see below), whose sum is σ = 85208760000. Its totient is φ = 10235554560.

The previous prime is 31083855911. The next prime is 31083855937. The reversal of 31083855912 is 21955838013.

31083855912 is a `hidden beast` number, since 3 + 1 + 0 + 83 + 8 + 559 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (31083855911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13449237 + ... + 13451547.

It is an arithmetic number, because the mean of its divisors is an integer number (887591250).

Almost surely, 231083855912 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 31083855912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42604380000).

31083855912 is an abundant number, since it is smaller than the sum of its proper divisors (54124904088).

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

31083855912 is a wasteful number, since it uses less digits than its factorization.

31083855912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 31083855912 in words is "thirty-one billion, eighty-three million, eight hundred fifty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2099 2136 2311 3204 4198 4622 6297 6408 6933 8396 9244 12594 13866 16792 18488 18891 20799 25188 27732 37782 41598 50376 55464 75564 83196 151128 166392 186811 205679 373622 411358 560433 617037 747244 822716 1120866 1234074 1494488 1645432 1681299 1851111 2241732 2468148 3362598 3702222 4483464 4850789 4936296 6725196 7404444 9701578 13450392 14552367 14808888 19403156 29104734 38806312 43657101 58209468 87314202 116418936 174628404 349256808 431720221 863440442 1295160663 1726880884 2590321326 3453761768 3885481989 5180642652 7770963978 10361285304 15541927956 31083855912