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90133100838 = 233111091392103
BaseRepresentation
bin101001111110001011…
…0011111100100100110
322121122112022221011000
41103330112133210212
52434043033211323
6105223453054130
76340403500434
oct1237426374446
9277575287130
1090133100838
1135252870790
1215575487346
138665585281
144510867d54
152527dbde43
hex14fc59f926

90133100838 has 64 divisors (see below), whose sum is σ = 220509273600. Its totient is φ = 27062462880.

The previous prime is 90133100821. The next prime is 90133100851. The reversal of 90133100838 is 83800133109.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631306 + ... + 760797.

It is an arithmetic number, because the mean of its divisors is an integer number (3445457400).

Almost surely, 290133100838 is an apocalyptic number.

90133100838 is an abundant number, since it is smaller than the sum of its proper divisors (130376172762).

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

90133100838 is a wasteful number, since it uses less digits than its factorization.

90133100838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392234 (or 1392228 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 90133100838 in words is "ninety billion, one hundred thirty-three million, one hundred thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 109 198 218 297 327 594 654 981 1199 1962 2398 2943 3597 5886 7194 10791 21582 32373 64746 1392103 2784206 4176309 8352618 12528927 15313133 25057854 30626266 37586781 45939399 75173562 91878798 137818197 151739227 275636394 303478454 413454591 455217681 826909182 910435362 1365653043 1669131497 2731306086 3338262994 4096959129 5007394491 8193918258 10014788982 15022183473 30044366946 45066550419 90133100838