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31677458408 = 23291491735297
BaseRepresentation
bin11101100000000111…
…111010011111101000
310000202122201121201022
4131200013322133220
51004333412132113
622315153512012
72200665645101
oct354007723750
9100678647638
1031677458408
11124861103a2
126180872608
132caaa7b43b
1417671433a8
15c56028908
hex7601fa7e8

31677458408 has 64 divisors (see below), whose sum is σ = 62225010000. Its totient is φ = 15099277312.

The previous prime is 31677458389. The next prime is 31677458459. The reversal of 31677458408 is 80485477613.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22159895044 + 9517563364 = 148862^2 + 97558^2 .

It is a super-2 number, since 2×316774584082 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31677458408.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5977616 + ... + 5982912.

Almost surely, 231677458408 is an apocalyptic number.

It is an amenable number.

31677458408 is a deficient number, since it is larger than the sum of its proper divisors (30547551592).

31677458408 is a wasteful number, since it uses less digits than its factorization.

31677458408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5654 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 53.

The spelling of 31677458408 in words is "thirty-one billion, six hundred seventy-seven million, four hundred fifty-eight thousand, four hundred eight".

Divisors: 1 2 4 8 29 58 116 149 173 232 298 346 596 692 1192 1384 4321 5017 5297 8642 10034 10594 17284 20068 21188 25777 34568 40136 42376 51554 103108 153613 206216 307226 614452 747533 789253 916381 1228904 1495066 1578506 1832762 2990132 3157012 3665524 5980264 6314024 7331048 22888337 26575049 45776674 53150098 91553348 106300196 136540769 183106696 212600392 273081538 546163076 1092326152 3959682301 7919364602 15838729204 31677458408