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90933050983680 = 28325173117386579
BaseRepresentation
bin10100101011010000000000…
…001100111100010100000000
3102220222010002200010021212100
4110223100000030330110000
543404321342022434210
6521222022242230400
725103460526132323
oct2453200014742400
9386863080107770
1090933050983680
1126a7954372a1a4
12a247526955400
133b97c46c641c9
14186527c7cc7ba
15a7a59d7975c0
hex52b40033c500

90933050983680 has 864 divisors, whose sum is σ = 345863566863360. Its totient is φ = 21958286376960.

The previous prime is 90933050983679. The next prime is 90933050983693. The reversal of 90933050983680 is 8638905033909.

90933050983680 is a `hidden beast` number, since 9 + 0 + 93 + 3 + 0 + 509 + 8 + 36 + 8 + 0 = 666.

It is a super-2 number, since 2×909330509836802 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1050246631 + ... + 1050333209.

It is an arithmetic number, because the mean of its divisors is an integer number (400305054240).

Almost surely, 290933050983680 is an apocalyptic number.

90933050983680 is a gapful number since it is divisible by the number (90) 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 90933050983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172931783431680).

90933050983680 is an abundant number, since it is smaller than the sum of its proper divisors (254930515879680).

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

90933050983680 is a wasteful number, since it uses less digits than its factorization.

90933050983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86827 (or 86810 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 90933050983680 in words is "ninety trillion, nine hundred thirty-three billion, fifty million, nine hundred eighty-three thousand, six hundred eighty".