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90010800324 = 223231216132
BaseRepresentation
bin101001111010100001…
…1111101000011000100
322121100000012102101100
41103311003331003010
52433320231102244
6105203403500100
76334360115244
oct1236503750304
9277300172340
1090010800324
113519a828585
1215540527630
1386461341c3
1444dc50db24
15251c2b1b69
hex14f50fd0c4

90010800324 has 81 divisors (see below), whose sum is σ = 235249498029. Its totient is φ = 29017740960.

The previous prime is 90010800283. The next prime is 90010800379. The reversal of 90010800324 is 42300801009.

The square root of 90010800324 is 300018.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56240122500 + 33770677824 = 237150^2 + 183768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55802542 + ... + 55804154.

Almost surely, 290010800324 is an apocalyptic number.

90010800324 is the 300018-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90010800324

90010800324 is an abundant number, since it is smaller than the sum of its proper divisors (145238697705).

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

90010800324 is a wasteful number, since it uses less digits than its factorization.

90010800324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 90010800324 in words is "ninety billion, ten million, eight hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1613 1922 2883 3226 3844 4839 5766 6452 8649 9678 11532 14517 17298 19356 29034 34596 50003 58068 100006 150009 200012 300018 450027 600036 900054 1550093 1800108 2601769 3100186 4650279 5203538 6200372 7805307 9300558 10407076 13950837 15610614 18601116 23415921 27901674 31221228 46831842 55803348 80654839 93663684 161309678 241964517 322619356 483929034 725893551 967858068 1451787102 2500300009 2903574204 5000600018 7500900027 10001200036 15001800054 22502700081 30003600108 45005400162 90010800324