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18000840312 = 23327313219227
BaseRepresentation
bin10000110000111011…
…110000011001111000
31201110111202102201100
4100300323300121320
5243331203342222
612134112251400
71205035422000
oct206073603170
951414672640
1018000840312
1176a8006834
1235a4540b60
13190b465c00
14c2a9a9000
157054c24ac
hex430ef0678

18000840312 has 576 divisors, whose sum is σ = 65089440000. Its totient is φ = 4477794048.

The previous prime is 18000840307. The next prime is 18000840329. The reversal of 18000840312 is 21304800081.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79298743 + ... + 79298969.

It is an arithmetic number, because the mean of its divisors is an integer number (113002500).

Almost surely, 218000840312 is an apocalyptic number.

18000840312 is a gapful number since it is divisible by the number (12) 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 18000840312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32544720000).

18000840312 is an abundant number, since it is smaller than the sum of its proper divisors (47088599688).

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

18000840312 is a wasteful number, since it uses less digits than its factorization.

18000840312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 18000840312 in words is "eighteen billion, eight hundred forty thousand, three hundred twelve".