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31898674404 = 22321741032
BaseRepresentation
bin11101101101010011…
…110010010011100100
310001100001222120000100
4131231103302103210
51010312030040104
622353135144100
72206323154512
oct355523622344
9101301876010
1031898674404
1112589a74233
126222975030
13301485348c
1417886894b2
15c6a674139
hex76d4f24e4

31898674404 has 135 divisors (see below), whose sum is σ = 86512092303. Its totient is φ = 9910267776.

The previous prime is 31898674369. The next prime is 31898674417. The reversal of 31898674404 is 40447689813.

The square root of 31898674404 is 178602.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 9899852004 + 21998822400 = 99498^2 + 148320^2 .

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 44 ways as a sum of consecutive naturals, for example, 309695817 + ... + 309695919.

Almost surely, 231898674404 is an apocalyptic number.

31898674404 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

31898674404 is the 178602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31898674404

31898674404 is an abundant number, since it is smaller than the sum of its proper divisors (54613417899).

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

31898674404 is an equidigital number, since it uses as much as digits as its factorization.

31898674404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 31898674404 in words is "thirty-one billion, eight hundred ninety-eight million, six hundred seventy-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 103 153 204 206 289 306 309 412 578 612 618 867 927 1156 1236 1734 1751 1854 2601 3468 3502 3708 4913 5202 5253 7004 9826 10404 10506 10609 14739 15759 19652 21012 21218 29478 29767 31518 31827 42436 44217 58956 59534 63036 63654 83521 88434 89301 95481 119068 127308 167042 176868 178602 180353 190962 250563 267903 334084 357204 360706 381924 501126 506039 535806 541059 721412 751689 1002252 1012078 1071612 1082118 1503378 1518117 1623177 2024156 2164236 3006756 3036234 3066001 3246354 4554351 6072468 6132002 6492708 8602663 9108702 9198003 12264004 17205326 18217404 18396006 25807989 27594009 34410652 36792012 51615978 52122017 55188018 77423967 103231956 104244034 110376036 154847934 156366051 208488068 309695868 312732102 469098153 625464204 886074289 938196306 1772148578 1876392612 2658222867 3544297156 5316445734 7974668601 10632891468 15949337202 31898674404