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18320711136 = 2537313127337
BaseRepresentation
bin10001000011111111…
…111101110111100000
31202021210122112222220
4101003333331313200
5300010100224021
612225540231040
71216001322000
oct210377756740
952253575886
1018320711136
117851622492
12367369b480
13195c8003a0
14c5b272000
15723608cc6
hex443ffdde0

18320711136 has 384 divisors, whose sum is σ = 61054156800. Its totient is φ = 4779565056.

The previous prime is 18320711117. The next prime is 18320711137. The reversal of 18320711136 is 63111702381.

It is a junction number, because it is equal to n+sod(n) for n = 18320711097 and 18320711106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18320711137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54363960 + ... + 54364296.

It is an arithmetic number, because the mean of its divisors is an integer number (158995200).

Almost surely, 218320711136 is an apocalyptic number.

18320711136 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 18320711136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30527078400).

18320711136 is an abundant number, since it is smaller than the sum of its proper divisors (42733445664).

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

18320711136 is a wasteful number, since it uses less digits than its factorization.

18320711136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 18320711136 in words is "eighteen billion, three hundred twenty million, seven hundred eleven thousand, one hundred thirty-six".