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90291836196 = 22326128212
BaseRepresentation
bin101010000010111010…
…0000001010100100100
322122001121000112010100
41110011310001110210
52434404202224241
6105251323224100
76344341641642
oct1240564012444
9278047015110
1090291836196
1135324429a31
12155ba678030
13868c422213
144527988192
152536cc69b6
hex1505d01524

90291836196 has 81 divisors (see below), whose sum is σ = 232323612339. Its totient is φ = 29567822400.

The previous prime is 90291836183. The next prime is 90291836291. The reversal of 90291836196 is 69163819209.

The square root of 90291836196 is 300486.

It is a perfect power (a square), and thus also a powerful number.

90291836196 is a `hidden beast` number, since 9 + 0 + 2 + 9 + 18 + 3 + 619 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50035426596 + 40256409600 = 223686^2 + 200640^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 109977466 + ... + 109978286.

Almost surely, 290291836196 is an apocalyptic number.

90291836196 is the 300486-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90291836196

90291836196 is an abundant number, since it is smaller than the sum of its proper divisors (142031776143).

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

90291836196 is an equidigital number, since it uses as much as digits as its factorization.

90291836196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 90291836196 in words is "ninety billion, two hundred ninety-one million, eight hundred thirty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 821 1098 1642 2196 2463 3284 3721 4926 7389 7442 9852 11163 14778 14884 22326 29556 33489 44652 50081 66978 100162 133956 150243 200324 300486 450729 600972 674041 901458 1348082 1802916 2022123 2696164 3054941 4044246 6066369 6109882 8088492 9164823 12132738 12219764 18329646 24265476 27494469 36659292 41116501 54988938 82233002 109977876 123349503 164466004 246699006 370048509 493398012 740097018 1480194036 2508106561 5016213122 7524319683 10032426244 15048639366 22572959049 30097278732 45145918098 90291836196