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90756222336 = 2733132020037
BaseRepresentation
bin101010010000101111…
…1100000110110000000
322200020221211210011000
41110201133200312000
52441332043103321
6105405352452000
76362011106253
oct1244137406600
9280227753130
1090756222336
113554258112a
121570a0aa000
1387346b8010
14456d50d09a
152562957826
hex15217e0d80

90756222336 has 128 divisors (see below), whose sum is σ = 288461426400. Its totient is φ = 27924977664.

The previous prime is 90756222331. The next prime is 90756222371. The reversal of 90756222336 is 63322265709.

90756222336 is a `hidden beast` number, since 90 + 7 + 5 + 6 + 222 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 90756222291 and 90756222300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90756222331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965091 + ... + 1054946.

Almost surely, 290756222336 is an apocalyptic number.

90756222336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90756222336 is an abundant number, since it is smaller than the sum of its proper divisors (197705204064).

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

90756222336 is a wasteful number, since it uses less digits than its factorization.

90756222336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020073 (or 2020055 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 90756222336 in words is "ninety billion, seven hundred fifty-six million, two hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 2020037 4040074 6060111 8080148 12120222 16160296 18180333 24240444 26260481 32320592 36360666 48480888 52520962 54540999 64641184 72721332 78781443 96961776 105041924 109081998 129282368 145442664 157562886 193923552 210083848 218163996 236344329 258564736 290885328 315125772 387847104 420167696 436327992 472688658 581770656 630251544 709032987 775694208 840335392 872655984 945377316 1163541312 1260503088 1418065974 1680670784 1745311968 1890754632 2327082624 2521006176 2836131948 3361341568 3490623936 3781509264 5042012352 5672263896 6981247872 7563018528 10084024704 11344527792 15126037056 22689055584 30252074112 45378111168 90756222336