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18355080168 = 2334227124783
BaseRepresentation
bin10001000110000011…
…000100101111101000
31202101012022200110000
4101012003010233220
5300042400031133
612233205023000
71216566415155
oct210603045750
952335280400
1018355080168
117869a67447
1236830b4a60
131966974ba9
14c61a5b22c
15726647413
hex4460c4be8

18355080168 has 80 divisors (see below), whose sum is σ = 51638114880. Its totient is φ = 6091358112.

The previous prime is 18355080157. The next prime is 18355080181. The reversal of 18355080168 is 86108055381.

18355080168 is a `hidden beast` number, since 1 + 8 + 3 + 550 + 80 + 16 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84705 + ... + 209487.

It is an arithmetic number, because the mean of its divisors is an integer number (645476436).

Almost surely, 218355080168 is an apocalyptic number.

18355080168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18355080168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25819057440).

18355080168 is an abundant number, since it is smaller than the sum of its proper divisors (33283034712).

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

18355080168 is a wasteful number, since it uses less digits than its factorization.

18355080168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125028 (or 125015 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 18355080168 in words is "eighteen billion, three hundred fifty-five million, eighty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 227 324 454 648 681 908 1362 1816 2043 2724 4086 5448 6129 8172 12258 16344 18387 24516 36774 49032 73548 124783 147096 249566 374349 499132 748698 998264 1123047 1497396 2246094 2994792 3369141 4492188 6738282 8984376 10107423 13476564 20214846 26953128 28325741 40429692 56651482 80859384 84977223 113302964 169954446 226605928 254931669 339908892 509863338 679817784 764795007 1019726676 1529590014 2039453352 2294385021 3059180028 4588770042 6118360056 9177540084 18355080168