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90442515366 = 23272333080677
BaseRepresentation
bin101010000111011001…
…0110100001110100110
322122110002112211002100
41110032302310032212
52440211240442431
6105314304552530
76351151460550
oct1241662641646
9278402484070
1090442515366
11353a1495475
1215641022746
1386b46cb2a8
14453d9ac4d0
15254513c4e6
hex150ecb43a6

90442515366 has 48 divisors (see below), whose sum is σ = 224914139424. Its totient is φ = 25729805952.

The previous prime is 90442515341. The next prime is 90442515377. The reversal of 90442515366 is 66351524409.

90442515366 is a `hidden beast` number, since 90 + 4 + 4 + 25 + 1 + 536 + 6 = 666.

It is a super-2 number, since 2×904425153662 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 1510981 + ... + 1569696.

It is an arithmetic number, because the mean of its divisors is an integer number (4685711238).

Almost surely, 290442515366 is an apocalyptic number.

90442515366 is an abundant number, since it is smaller than the sum of its proper divisors (134471624058).

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

90442515366 is a wasteful number, since it uses less digits than its factorization.

90442515366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080925 (or 3080922 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 90442515366 in words is "ninety billion, four hundred forty-two million, five hundred fifteen thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 233 466 699 1398 1631 2097 3262 4194 4893 9786 14679 29358 3080677 6161354 9242031 18484062 21564739 27726093 43129478 55452186 64694217 129388434 194082651 388165302 717797741 1435595482 2153393223 4306786446 5024584187 6460179669 10049168374 12920359338 15073752561 30147505122 45221257683 90442515366