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18107827136 = 267233183683
BaseRepresentation
bin10000110111010011…
…111000001111000000
31201201222001221001022
4100313103320033000
5244041100432021
612152453325012
71210504663640
oct206723701700
951658057038
1018107827136
11775243a5a3
123614336768
131927684919
14c3ac98520
1570eaa71ab
hex4374f83c0

18107827136 has 224 divisors, whose sum is σ = 44832227328. Its totient is φ = 7086689280.

The previous prime is 18107827097. The next prime is 18107827181. The reversal of 18107827136 is 63172870181.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26511851 + ... + 26512533.

It is an arithmetic number, because the mean of its divisors is an integer number (200143872).

Almost surely, 218107827136 is an apocalyptic number.

18107827136 is a gapful number since it is divisible by the number (16) 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 18107827136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22416113664).

18107827136 is an abundant number, since it is smaller than the sum of its proper divisors (26724400192).

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

18107827136 is a wasteful number, since it uses less digits than its factorization.

18107827136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 44.

The spelling of 18107827136 in words is "eighteen billion, one hundred seven million, eight hundred twenty-seven thousand, one hundred thirty-six".