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90813143294775 = 325211172158363477
BaseRepresentation
bin10100101001100000010101…
…001001011010001100110111
3102220112122121002122120101100
4110221200111021122030313
543400340304140413100
6521050552044301143
725062014230446426
oct2451402511321467
9386478532576340
1090813143294775
1126a32701994840
12a228241b417b3
133b89847c2a9b5
14185d5458352bd
15a773d1978400
hex52981525a337

90813143294775 has 72 divisors (see below), whose sum is σ = 187881224032944. Its totient is φ = 41440578739200.

The previous prime is 90813143294773. The next prime is 90813143294813. The reversal of 90813143294775 is 57749234131809.

90813143294775 is a `hidden beast` number, since 9 + 0 + 8 + 13 + 143 + 2 + 9 + 477 + 5 = 666.

It is not a de Polignac number, because 90813143294775 - 21 = 90813143294773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90813143294771) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1079139664 + ... + 1079223813.

It is an arithmetic number, because the mean of its divisors is an integer number (2609461444902).

Almost surely, 290813143294775 is an apocalyptic number.

90813143294775 is an abundant number, since it is smaller than the sum of its proper divisors (97068080738169).

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

90813143294775 is a wasteful number, since it uses less digits than its factorization.

90813143294775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158363521 (or 2158363513 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 90813143294775 in words is "ninety trillion, eight hundred thirteen billion, one hundred forty-three million, two hundred ninety-four thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 153 165 187 225 255 275 425 495 561 765 825 935 1275 1683 2475 2805 3825 4675 8415 14025 42075 2158363477 6475090431 10791817385 19425271293 23741998247 32375452155 36692179109 53959086925 71225994741 97126356465 110076537327 118709991235 161877260775 183460895545 213677984223 330229611981 356129973705 403613970199 485631782325 550382686635 593549956175 917304477725 1068389921115 1210841910597 1651148059905 1780649868525 2018069850995 2751913433175 3632525731791 5341949605575 6054209552985 8255740299525 10090349254975 18162628658955 30271047764925 90813143294775