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90468017892 = 22327383937337
BaseRepresentation
bin101010001000001010…
…0000110011011100100
322122111212112110222100
41110100110012123210
52440234303033032
6105321015332100
76351611315130
oct1242024063344
9278455473870
1090468017892
113540492393a
1215649681030
1386b9a8a145
14454312a3c0
1525474c897c
hex15105066e4

90468017892 has 72 divisors (see below), whose sum is σ = 262034712576. Its totient is φ = 25780489344.

The previous prime is 90468017879. The next prime is 90468017897. The reversal of 90468017892 is 29871086409.

90468017892 is a `hidden beast` number, since 9 + 0 + 468 + 0 + 178 + 9 + 2 = 666.

It is a super-2 number, since 2×904680178922 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90468017897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372153 + ... + 565184.

It is an arithmetic number, because the mean of its divisors is an integer number (3639371008).

Almost surely, 290468017892 is an apocalyptic number.

It is an amenable number.

90468017892 is an abundant number, since it is smaller than the sum of its proper divisors (171566694684).

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

90468017892 is a wasteful number, since it uses less digits than its factorization.

90468017892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937737 (or 937732 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 90468017892 in words is "ninety billion, four hundred sixty-eight million, seventeen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 383 766 1149 1532 2298 2681 3447 4596 5362 6894 8043 10724 13788 16086 24129 32172 48258 96516 937337 1874674 2812011 3749348 5624022 6561359 8436033 11248044 13122718 16872066 19684077 26245436 33744132 39368154 59052231 78736308 118104462 236208924 359000071 718000142 1077000213 1436000284 2154000426 2513000497 3231000639 4308000852 5026000994 6462001278 7539001491 10052001988 12924002556 15078002982 22617004473 30156005964 45234008946 90468017892