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18053516520 = 233451317191327
BaseRepresentation
bin10000110100000100…
…101100110011101000
31201121011212122220000
4100310010230303220
5243433200012040
612143233303000
71206245233644
oct206404546350
951534778800
1018053516520
117724815196
1235ba104a60
13191934a470
14c3399bc24
15709e2a130
hex43412cce8

18053516520 has 640 divisors, whose sum is σ = 72888076800. Its totient is φ = 3959414784.

The previous prime is 18053516497. The next prime is 18053516521. The reversal of 18053516520 is 2561535081.

It is a happy number.

18053516520 is a `hidden beast` number, since 1 + 80 + 5 + 3 + 51 + 6 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18053516521) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13604097 + ... + 13605423.

It is an arithmetic number, because the mean of its divisors is an integer number (113887620).

Almost surely, 218053516520 is an apocalyptic number.

18053516520 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 18053516520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36444038400).

18053516520 is an abundant number, since it is smaller than the sum of its proper divisors (54834560280).

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

18053516520 is a wasteful number, since it uses less digits than its factorization.

18053516520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 18053516520 in words is "eighteen billion, fifty-three million, five hundred sixteen thousand, five hundred twenty".