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18368516136960 = 213345113761223
BaseRepresentation
bin1000010110100110000001…
…11000010010000000000000
32102001000100110202001220000
410023103000320102000000
54401422210112340320
6103022214012520000
73604036645010433
oct413230070220000
972030313661800
1018368516136960
115942053547330
122087b36a80000
13a331b3763652
1447708042381a
1521cc19769c90
hex10b4c0e12000

18368516136960 has 2240 divisors, whose sum is σ = 75324212941824. Its totient is φ = 4242486067200.

The previous prime is 18368516136953. The next prime is 18368516136983. The reversal of 18368516136960 is 6963161586381.

18368516136960 is a `hidden beast` number, since 1 + 8 + 3 + 6 + 8 + 5 + 1 + 613 + 6 + 9 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 82370027409 + ... + 82370027631.

Almost surely, 218368516136960 is an apocalyptic number.

18368516136960 is a gapful number since it is divisible by the number (10) 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 18368516136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37662106470912).

18368516136960 is an abundant number, since it is smaller than the sum of its proper divisors (56955696804864).

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

18368516136960 is a wasteful number, since it uses less digits than its factorization.

18368516136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 18368516136960 in words is "eighteen trillion, three hundred sixty-eight billion, five hundred sixteen million, one hundred thirty-six thousand, nine hundred sixty".