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90400942755 = 3351783474583
BaseRepresentation
bin101010000110001010…
…0001110101010100011
322122100012022201012000
41110030110032222203
52440120120132010
6105310221535043
76350135222604
oct1241424165243
9278305281160
1090400942755
113537aa80342
121562b114483
1386a8c03a06
144538269dab
1525416797c0
hex150c50eaa3

90400942755 has 64 divisors (see below), whose sum is σ = 172217041920. Its totient is φ = 44830914048.

The previous prime is 90400942717. The next prime is 90400942811. The reversal of 90400942755 is 55724900409.

90400942755 is a `hidden beast` number, since 90 + 400 + 94 + 2 + 75 + 5 = 666.

It is not a de Polignac number, because 90400942755 - 26 = 90400942691 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 90400942755.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46807 + ... + 427776.

It is an arithmetic number, because the mean of its divisors is an integer number (2690891280).

Almost surely, 290400942755 is an apocalyptic number.

90400942755 is a deficient number, since it is larger than the sum of its proper divisors (81816099165).

90400942755 is a wasteful number, since it uses less digits than its factorization.

90400942755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474697 (or 474691 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 90400942755 in words is "ninety billion, four hundred million, nine hundred forty-two thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 17 27 45 51 83 85 135 153 249 255 415 459 747 765 1245 1411 2241 2295 3735 4233 7055 11205 12699 21165 38097 63495 190485 474583 1423749 2372915 4271247 7118745 8067911 12813741 21356235 24203733 39390389 40339555 64068705 72611199 118171167 121018665 196951945 217833597 354513501 363055995 590855835 669636613 1063540503 1089167985 1772567505 2008909839 3348183065 5317702515 6026729517 10044549195 18080188551 30133647585 90400942755