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90121249176 = 23374787112061
BaseRepresentation
bin101001111101110100…
…1010010000110011000
322121121201000210201120
41103323221102012120
52434032014433201
6105222351045240
76340200656460
oct1237351220630
9277551023646
1090121249176
1135247106422
1215571510820
138662c9595a
14450d060ba0
152526d2c536
hex14fba52198

90121249176 has 64 divisors (see below), whose sum is σ = 257545370880. Its totient is φ = 25743319680.

The previous prime is 90121249087. The next prime is 90121249181. The reversal of 90121249176 is 67194212109.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748186 + ... + 860246.

It is an arithmetic number, because the mean of its divisors is an integer number (4024146420).

Almost surely, 290121249176 is an apocalyptic number.

It is an amenable number.

90121249176 is an abundant number, since it is smaller than the sum of its proper divisors (167424121704).

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

90121249176 is a wasteful number, since it uses less digits than its factorization.

90121249176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116864 (or 116860 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 90121249176 in words is "ninety billion, one hundred twenty-one million, two hundred forty-nine thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 4787 9574 14361 19148 28722 33509 38296 57444 67018 100527 112061 114888 134036 201054 224122 268072 336183 402108 448244 672366 784427 804216 896488 1344732 1568854 2353281 2689464 3137708 4706562 6275416 9413124 18826248 536436007 1072872014 1609308021 2145744028 3218616042 3755052049 4291488056 6437232084 7510104098 11265156147 12874464168 15020208196 22530312294 30040416392 45060624588 90121249176