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31084879968 = 2532555719423
BaseRepresentation
bin11100111100110011…
…011010000001100000
32222020100200111220200
4130330303122001200
51002130212124333
622140304505200
72150212056132
oct347463320140
988210614820
1031084879968
111220167144a
12603631b200
132c150808cc
14170c56d052
15c1dec4c13
hex73ccda060

31084879968 has 72 divisors (see below), whose sum is σ = 88418086848. Its totient is φ = 10359228672.

The previous prime is 31084879961. The next prime is 31084879999. The reversal of 31084879968 is 86997848013.

31084879968 is a `hidden beast` number, since 3 + 1 + 0 + 8 + 487 + 99 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31084879961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1590705 + ... + 1610127.

It is an arithmetic number, because the mean of its divisors is an integer number (1228028984).

Almost surely, 231084879968 is an apocalyptic number.

It is an amenable number.

31084879968 is an abundant number, since it is smaller than the sum of its proper divisors (57333206880).

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

31084879968 is a wasteful number, since it uses less digits than its factorization.

31084879968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24996 (or 24985 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 31084879968 in words is "thirty-one billion, eighty-four million, eight hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5557 11114 16671 19423 22228 33342 38846 44456 50013 58269 66684 77692 88912 100026 116538 133368 155384 174807 177824 200052 233076 266736 310768 349614 400104 466152 533472 621536 699228 800208 932304 1398456 1600416 1864608 2796912 5593824 107933611 215867222 323800833 431734444 647601666 863468888 971402499 1295203332 1726937776 1942804998 2590406664 3453875552 3885609996 5180813328 7771219992 10361626656 15542439984 31084879968