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31577045864 = 23713376717497
BaseRepresentation
bin11101011010001000…
…110111101101101000
310000111122210010121012
4131122020313231220
51004132210431424
622301205403052
72165336314130
oct353210675550
9100448703535
1031577045864
1112434467a21
126153109488
132c93021c30
141757a85ac0
15c4c2e1b0e
hex75a237b68

31577045864 has 128 divisors (see below), whose sum is σ = 75960917760. Its totient is φ = 11972302848.

The previous prime is 31577045861. The next prime is 31577045911. The reversal of 31577045864 is 46854077513.

It is not an unprimeable number, because it can be changed into a prime (31577045861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1795964 + ... + 1813460.

It is an arithmetic number, because the mean of its divisors is an integer number (593444670).

Almost surely, 231577045864 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 31577045864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37980458880).

31577045864 is an abundant number, since it is smaller than the sum of its proper divisors (44383871896).

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

31577045864 is a wasteful number, since it uses less digits than its factorization.

31577045864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17627 (or 17623 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 31577045864 in words is "thirty-one billion, five hundred seventy-seven million, forty-five thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 56 67 74 91 104 134 148 182 259 268 296 364 469 481 518 536 728 871 938 962 1036 1742 1876 1924 2072 2479 3367 3484 3752 3848 4958 6097 6734 6968 9916 12194 13468 17353 17497 19832 24388 26936 32227 34706 34994 48776 64454 69412 69988 122479 128908 138824 139976 225589 227461 244958 257816 451178 454922 489916 647389 902356 909844 979832 1172299 1294778 1592227 1804712 1819688 2344598 2589556 3184454 4531723 4689196 5179112 6368908 8206093 8416057 9063446 9378392 12737816 15239887 16412186 16832114 18126892 30479774 32824372 33664228 36253784 43375063 58912399 60959548 65648744 67328456 86750126 106679209 117824798 121919096 173500252 213358418 235649596 303625441 347000504 426716836 471299192 563875819 607250882 853433672 1127751638 1214501764 2255503276 2429003528 3947130733 4511006552 7894261466 15788522932 31577045864