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18137109144 = 23371122234001
BaseRepresentation
bin10000111001000011…
…100101001010011000
31201211000011121102010
4100321003211022120
5244121044443034
612155421105520
71211311612140
oct207103451230
951730147363
1018137109144
117767a1a600
1236220b82a0
131930767b5b
14c40b1b920
1571243d3e9
hex4390e5298

18137109144 has 192 divisors, whose sum is σ = 57229240320. Its totient is φ = 4688640000.

The previous prime is 18137109139. The next prime is 18137109157. The reversal of 18137109144 is 44190173181.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4531144 + ... + 4535144.

It is an arithmetic number, because the mean of its divisors is an integer number (298068960).

Almost surely, 218137109144 is an apocalyptic number.

18137109144 is a gapful number since it is divisible by the number (14) 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 18137109144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28614620160).

18137109144 is an abundant number, since it is smaller than the sum of its proper divisors (39092131176).

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

18137109144 is a wasteful number, since it uses less digits than its factorization.

18137109144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 18137109144 in words is "eighteen billion, one hundred thirty-seven million, one hundred nine thousand, one hundred forty-four".