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90714365924 = 227132174723993
BaseRepresentation
bin101010001111011111…
…1110101111111100100
322200011001002020221112
41110132333311333210
52441240334202144
6105401255404152
76360662250020
oct1243677657744
9280131066845
1090714365924
1135520992856
12156b8083658
138728b21500
144567b35380
15255de3a99e
hex151eff5fe4

90714365924 has 144 divisors (see below), whose sum is σ = 212449402368. Its totient is φ = 33055985664.

The previous prime is 90714365921. The next prime is 90714365999. The reversal of 90714365924 is 42956341709.

It is not an unprimeable number, because it can be changed into a prime (90714365921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3768872 + ... + 3792864.

It is an arithmetic number, because the mean of its divisors is an integer number (1475343072).

Almost surely, 290714365924 is an apocalyptic number.

90714365924 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90714365924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106224701184).

90714365924 is an abundant number, since it is smaller than the sum of its proper divisors (121735036444).

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

90714365924 is a wasteful number, since it uses less digits than its factorization.

90714365924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24094 (or 24079 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 90714365924 in words is "ninety billion, seven hundred fourteen million, three hundred sixty-five thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 47 52 68 91 94 119 169 182 188 221 238 329 338 364 442 476 611 658 676 799 884 1183 1222 1316 1547 1598 2366 2444 2873 3094 3196 4277 4732 5593 5746 6188 7943 8554 10387 11186 11492 15886 17108 20111 20774 22372 23993 31772 40222 41548 47986 55601 72709 80444 95972 111202 135031 145418 167951 222404 270062 290836 311909 335902 407881 540124 623818 671804 815762 945217 1127671 1247636 1631524 1890434 2183363 2255342 2855167 3780868 4054817 4366726 4510684 5302453 5710334 7893697 8109634 8733452 10604906 11420668 14659723 15787394 16219268 19170407 21209812 28383719 29319446 31574788 37117171 38340814 56767438 58638892 68931889 74234342 76681628 102618061 113534876 134192849 137863778 148468684 190576399 205236122 249215291 268385698 275727556 381152798 410472244 482523223 498430582 536771396 762305596 965046446 996861164 1334034793 1744507037 1930092892 2668069586 3239798783 3489014074 5336139172 6479597566 6978028148 12959195132 22678591481 45357182962 90714365924