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90909155124 = 22322987384533
BaseRepresentation
bin101010010101010011…
…0111001111100110100
322200122121121120111100
41110222212321330310
52442140220430444
6105432454410100
76365546032404
oct1245246717464
9280577546440
1090909155124
1135610936867
1215751360930
13875a2a2aa8
14458595c804
1525710b5e69
hex152a9b9f34

90909155124 has 36 divisors (see below), whose sum is σ = 229808553156. Its totient is φ = 30301678848.

The previous prime is 90909155123. The next prime is 90909155167. The reversal of 90909155124 is 42155190909.

90909155124 is a `hidden beast` number, since 9 + 0 + 9 + 0 + 91 + 551 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52249730724 + 38659424400 = 228582^2 + 196620^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90909155124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90909155123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1033162 + ... + 1117694.

It is an arithmetic number, because the mean of its divisors is an integer number (6383570921).

Almost surely, 290909155124 is an apocalyptic number.

It is an amenable number.

90909155124 is an abundant number, since it is smaller than the sum of its proper divisors (138899398032).

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

90909155124 is a wasteful number, since it uses less digits than its factorization.

90909155124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114416 (or 114411 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 90909155124 in words is "ninety billion, nine hundred nine million, one hundred fifty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 29873 59746 84533 89619 119492 169066 179238 253599 268857 338132 358476 507198 537714 760797 1014396 1075428 1521594 3043188 2525254309 5050508618 7575762927 10101017236 15151525854 22727288781 30303051708 45454577562 90909155124