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18067969920 = 27357211131779
BaseRepresentation
bin10000110100111011…
…110101011110000000
31201122012001222020010
4100310323311132000
5244000400014140
612144511144520
71206512132100
oct206473653600
951565058203
1018067969920
117731997250
123602b15140
13191c33b080
14c35881200
1570b332880
hex434ef5780

18067969920 has 1536 divisors, whose sum is σ = 84391372800. Its totient is φ = 3220439040.

The previous prime is 18067969919. The next prime is 18067969939. The reversal of 18067969920 is 2996976081.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 228708441 + ... + 228708519.

It is an arithmetic number, because the mean of its divisors is an integer number (54942300).

Almost surely, 218067969920 is an apocalyptic number.

18067969920 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 18067969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42195686400).

18067969920 is an abundant number, since it is smaller than the sum of its proper divisors (66323402880).

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

18067969920 is a wasteful number, since it uses less digits than its factorization.

18067969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The spelling of 18067969920 in words is "eighteen billion, sixty-seven million, nine hundred sixty-nine thousand, nine hundred twenty".