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90107328744 = 23333189151201
BaseRepresentation
bin101001111101011010…
…0001011100011101000
322121120201211120111000
41103322310023203220
52434014434004434
6105221132435000
76336641441226
oct1237264134350
9277521746430
1090107328744
113523a268834
1215568918a60
138660130804
14450b279b16
1525259ccb99
hex14fad0b8e8

90107328744 has 128 divisors (see below), whose sum is σ = 261277056000. Its totient is φ = 28740096000.

The previous prime is 90107328709. The next prime is 90107328749. The reversal of 90107328744 is 44782370109.

It is a self number, because there is not a number n which added to its sum of digits gives 90107328744.

It is not an unprimeable number, because it can be changed into a prime (90107328749) 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, 520344 + ... + 671544.

It is an arithmetic number, because the mean of its divisors is an integer number (2041227000).

Almost surely, 290107328744 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 90107328744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130638528000).

90107328744 is an abundant number, since it is smaller than the sum of its proper divisors (171169727256).

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

90107328744 is a wasteful number, since it uses less digits than its factorization.

90107328744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151336 (or 151326 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 90107328744 in words is "ninety billion, one hundred seven million, three hundred twenty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 89 93 108 124 178 186 216 248 267 279 356 372 534 558 712 744 801 837 1068 1116 1602 1674 2136 2232 2403 2759 3204 3348 4806 5518 6408 6696 8277 9612 11036 16554 19224 22072 24831 33108 49662 66216 74493 99324 148986 151201 198648 297972 302402 453603 595944 604804 907206 1209608 1360809 1814412 2721618 3628824 4082427 4687231 5443236 8164854 9374462 10886472 13456889 14061693 16329708 18748924 26913778 28123386 32659416 37497848 40370667 42185079 53827556 56246772 80741334 84370158 107655112 112493544 121112001 126555237 161482668 168740316 242224002 253110474 322965336 337480632 363336003 417163559 484448004 506220948 726672006 834327118 968896008 1012441896 1251490677 1453344012 1668654236 2502981354 2906688024 3337308472 3754472031 5005962708 7508944062 10011925416 11263416093 15017888124 22526832186 30035776248 45053664372 90107328744