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90628964352 = 21432614617
BaseRepresentation
bin101010001100111101…
…0000100000000000000
322122221002101102000100
41110121322010000000
52441102003324402
6105345005122400
76355604325603
oct1243172040000
9278832342010
1090628964352
1135487762343
1215693559400
13871421c634
14455a66433a
1525566bb71c
hex1519e84000

90628964352 has 90 divisors (see below), whose sum is σ = 261809444078. Its totient is φ = 30209605632.

The previous prime is 90628964351. The next prime is 90628964357. The reversal of 90628964352 is 25346982609.

It is a happy number.

90628964352 is a `hidden beast` number, since 9 + 0 + 6 + 289 + 6 + 4 + 352 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80965287936 + 9663676416 = 284544^2 + 98304^2 .

It is not an unprimeable number, because it can be changed into a prime (90628964351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159853 + ... + 454764.

Almost surely, 290628964352 is an apocalyptic number.

It is an amenable number.

90628964352 is an abundant number, since it is smaller than the sum of its proper divisors (171180479726).

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

90628964352 is an equidigital number, since it uses as much as digits as its factorization.

90628964352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614651 (or 614622 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 90628964352 in words is "ninety billion, six hundred twenty-eight million, nine hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 36864 49152 73728 147456 614617 1229234 1843851 2458468 3687702 4916936 5531553 7375404 9833872 11063106 14750808 19667744 22126212 29501616 39335488 44252424 59003232 78670976 88504848 118006464 157341952 177009696 236012928 314683904 354019392 472025856 629367808 708038784 944051712 1258735616 1416077568 1888103424 2517471232 2832155136 3776206848 5034942464 5664310272 7552413696 10069884928 11328620544 15104827392 22657241088 30209654784 45314482176 90628964352