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31947014944 = 25132512711129
BaseRepresentation
bin11101110000001100…
…001100001100100000
310001110102221111202201
4131300030030030200
51010411413434234
622402023222544
72210451101155
oct356014141440
9101412844681
1031947014944
1112604291199
126236ba7a54
13302187a450
141790c7022c
15c6ea22314
hex77030c320

31947014944 has 96 divisors (see below), whose sum is σ = 68315063040. Its totient is φ = 14618880000.

The previous prime is 31947014923. The next prime is 31947014963. The reversal of 31947014944 is 44941074913.

It is a super-2 number, since 2×319470149442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31947014894 and 31947014903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28296172 + ... + 28297300.

It is an arithmetic number, because the mean of its divisors is an integer number (711615240).

Almost surely, 231947014944 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 31947014944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34157531520).

31947014944 is an abundant number, since it is smaller than the sum of its proper divisors (36368048096).

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

31947014944 is a wasteful number, since it uses less digits than its factorization.

31947014944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 31947014944 in words is "thirty-one billion, nine hundred forty-seven million, fourteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 251 271 416 502 542 1004 1084 1129 2008 2168 2258 3263 3523 4016 4336 4516 6526 7046 8032 8672 9032 13052 14092 14677 18064 26104 28184 29354 36128 52208 56368 58708 68021 104416 112736 117416 136042 234832 272084 283379 305959 469664 544168 566758 611918 884273 1088336 1133516 1223836 1768546 2176672 2267032 2447672 3537092 3683927 3977467 4534064 4895344 7074184 7367854 7954934 9068128 9790688 14148368 14735708 15909868 28296736 29471416 31819736 58942832 63639472 76795709 117885664 127278944 153591418 307182836 614365672 998344217 1228731344 1996688434 2457462688 3993376868 7986753736 15973507472 31947014944