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90765999225 = 33521121765371
BaseRepresentation
bin101010010001000010…
…0110011110001111001
322200021122020111112000
41110202010303301321
52441342043433400
6105410342211213
76362160156306
oct1244204636171
9280248214460
1090765999225
1135548049700
1215711423b09
13873672c165
1445709360ad
152563739600
hex1522133c79

90765999225 has 144 divisors (see below), whose sum is σ = 194060704320. Its totient is φ = 41418432000.

The previous prime is 90765999217. The next prime is 90765999227. The reversal of 90765999225 is 52299956709.

It is not a de Polignac number, because 90765999225 - 23 = 90765999217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90765999227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1355790 + ... + 1421160.

It is an arithmetic number, because the mean of its divisors is an integer number (1347643780).

Almost surely, 290765999225 is an apocalyptic number.

It is an amenable number.

90765999225 is an abundant number, since it is smaller than the sum of its proper divisors (103294705095).

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

90765999225 is a wasteful number, since it uses less digits than its factorization.

90765999225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65429 (or 65407 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 63.

The spelling of 90765999225 in words is "ninety billion, seven hundred sixty-five million, nine hundred ninety-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 27 33 45 51 55 75 85 99 121 135 153 165 187 225 255 275 297 363 425 459 495 561 605 675 765 825 935 1089 1275 1485 1683 1815 2057 2295 2475 2805 3025 3267 3825 4675 5049 5445 6171 7425 8415 9075 10285 11475 14025 16335 18513 25245 27225 30855 42075 51425 55539 65371 81675 92565 126225 154275 196113 277695 326855 462825 588339 719081 980565 1111307 1388475 1634275 1765017 2157243 2941695 3333921 3595405 4902825 5556535 6471729 7909891 8825085 10001763 10786215 12224377 14708475 16669605 17977025 19415187 23729673 27782675 30005289 32358645 36673131 39549455 44125425 50008815 53931075 61121885 71189019 83348025 97075935 110019393 118648365 134468147 150026445 161793225 183365655 197747275 213567057 250044075 305609425 330058179 355945095 403404441 485379675 550096965 593241825 672340735 750132225 916828275 1067835285 1210213323 1650290895 1779725475 2017022205 2750484825 3361703675 3630639969 5339176425 6051066615 8251454475 10085111025 18153199845 30255333075 90765999225