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90757406208 = 29378440979
BaseRepresentation
bin101010010000110010…
…0000001111000000000
322200021001001221010010
41110201210001320000
52441332343444313
6105405434104520
76362024136630
oct1244144017000
9280231057103
1090757406208
113554320a637
121570a57b140
138734a10b31
14456d73a6c0
152562add4c3
hex1521901e00

90757406208 has 80 divisors (see below), whose sum is σ = 276323921280. Its totient is φ = 25930684416.

The previous prime is 90757406197. The next prime is 90757406237. The reversal of 90757406208 is 80260475709.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4209738 + ... + 4231241.

It is an arithmetic number, because the mean of its divisors is an integer number (3454049016).

Almost surely, 290757406208 is an apocalyptic number.

It is an amenable number.

90757406208 is an abundant number, since it is smaller than the sum of its proper divisors (185566515072).

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

90757406208 is an equidigital number, since it uses as much as digits as its factorization.

90757406208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8441007 (or 8440991 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 90757406208 in words is "ninety billion, seven hundred fifty-seven million, four hundred six thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 8440979 16881958 25322937 33763916 50645874 59086853 67527832 101291748 118173706 135055664 177260559 202583496 236347412 270111328 354521118 405166992 472694824 540222656 709042236 810333984 945389648 1080445312 1418084472 1620667968 1890779296 2160890624 2836168944 3241335936 3781558592 4321781248 5672337888 6482671872 7563117184 11344675776 12965343744 15126234368 22689351552 30252468736 45378703104 90757406208