Search a number
-
+
198933406041624 = 233173115728447663
BaseRepresentation
bin101101001110110111001011…
…000000000100011000011000
3222002100211220002221000221120
4231032313023000010120120
5202033311103421312444
61543032424535205240
756621315152255362
oct5516671300043030
9862324802830846
10198933406041624
1158428202588921
121a38a763216820
138700455408757
14371a5dd0a5d32
1517eeaab264b19
hexb4edcb004618

198933406041624 has 64 divisors (see below), whose sum is σ = 543575151267840. Its totient is φ = 60397239022080.

The previous prime is 198933406041613. The next prime is 198933406041649. The reversal of 198933406041624 is 426140604339891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7864211184 + ... + 7864236479.

It is an arithmetic number, because the mean of its divisors is an integer number (8493361738560).

Almost surely, 2198933406041624 is an apocalyptic number.

It is an amenable number.

198933406041624 is an abundant number, since it is smaller than the sum of its proper divisors (344641745226216).

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

198933406041624 is a wasteful number, since it uses less digits than its factorization.

198933406041624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15728447720 (or 15728447716 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 198933406041624 in words is "one hundred ninety-eight trillion, nine hundred thirty-three billion, four hundred six million, forty-one thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1054 1581 2108 3162 4216 6324 12648 15728447663 31456895326 47185342989 62913790652 94370685978 125827581304 188741371956 267383610271 377482743912 487581877553 534767220542 802150830813 975163755106 1069534441084 1462745632659 1604301661626 1950327510212 2139068882168 2925491265318 3208603323252 3900655020424 5850982530636 6417206646504 8288891918401 11701965061272 16577783836802 24866675755203 33155567673604 49733351510406 66311135347208 99466703020812 198933406041624