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89922833316 = 2235811114073
BaseRepresentation
bin101001110111111010…
…0011000101110100100
322121002212200020100000
41103233310120232210
52433130221131231
6105150542221300
76332241320541
oct1235764305644
9277085606300
1089922833316
1135155105678
1215516b84830
138630b44714
1444d0971bc8
1525146d76e6
hex14efd18ba4

89922833316 has 72 divisors (see below), whose sum is σ = 236016368224. Its totient is φ = 29937055680.

The previous prime is 89922833303. The next prime is 89922833381. The reversal of 89922833316 is 61333822998.

It is a happy number.

89922833316 is a `hidden beast` number, since 89 + 9 + 228 + 3 + 331 + 6 = 666.

It is a super-2 number, since 2×899228333162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731256 + ... + 845328.

Almost surely, 289922833316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89922833316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118008184112).

89922833316 is an abundant number, since it is smaller than the sum of its proper divisors (146093534908).

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

89922833316 is a wasteful number, since it uses less digits than its factorization.

89922833316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114903 (or 114889 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 89922833316 in words is "eighty-nine billion, nine hundred twenty-two million, eight hundred thirty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 811 972 1622 2433 3244 4866 7299 9732 14598 21897 29196 43794 65691 87588 114073 131382 197073 228146 262764 342219 394146 456292 684438 788292 1026657 1368876 2053314 3079971 4106628 6159942 9239913 12319884 18479826 27719739 36959652 55439478 92513203 110878956 185026406 277539609 370052812 555079218 832618827 1110158436 1665237654 2497856481 3330475308 4995712962 7493569443 9991425924 14987138886 22480708329 29974277772 44961416658 89922833316