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90638702976 = 2731311801819
BaseRepresentation
bin101010001101001111…
…1001101100110000000
322122221202201011220010
41110122133031212000
52441112001443401
6105345553544520
76356053156233
oct1243237154600
9278852634803
1090638702976
1135492204098
1215696875140
13871624c233
14455ba7b41a
152557491ed6
hex151a7cd980

90638702976 has 64 divisors (see below), whose sum is σ = 242597044800. Its totient is φ = 29982251520.

The previous prime is 90638702939. The next prime is 90638703011. The reversal of 90638702976 is 67920783609.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 850606 + ... + 951213.

It is an arithmetic number, because the mean of its divisors is an integer number (3790578825).

Almost surely, 290638702976 is an apocalyptic number.

90638702976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90638702976 is an abundant number, since it is smaller than the sum of its proper divisors (151958341824).

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

90638702976 is a wasteful number, since it uses less digits than its factorization.

90638702976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801967 (or 1801955 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 90638702976 in words is "ninety billion, six hundred thirty-eight million, seven hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 262 384 393 524 786 1048 1572 2096 3144 4192 6288 8384 12576 16768 25152 50304 1801819 3603638 5405457 7207276 10810914 14414552 21621828 28829104 43243656 57658208 86487312 115316416 172974624 230632832 236038289 345949248 472076578 691898496 708114867 944153156 1416229734 1888306312 2832459468 3776612624 5664918936 7553225248 11329837872 15106450496 22659675744 30212900992 45319351488 90638702976