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18131023260 = 22335717283997
BaseRepresentation
bin10000111000101100…
…010111010110011100
31201210120201102011000
4100320230113112130
5244113020221020
612155042430300
71211206104060
oct207054272634
951716642130
1018131023260
117764543149
123620062390
13192c416a3c
14c3ddb5aa0
15711b3a090
hex438b1759c

18131023260 has 384 divisors, whose sum is σ = 68567869440. Its totient is φ = 3882774528.

The previous prime is 18131023259. The next prime is 18131023297. The reversal of 18131023260 is 6232013181.

It is a happy number.

It is a super-2 number, since 2×181310232602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 18185082 + ... + 18186078.

It is an arithmetic number, because the mean of its divisors is an integer number (178562160).

Almost surely, 218131023260 is an apocalyptic number.

18131023260 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 18131023260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34283934720).

18131023260 is an abundant number, since it is smaller than the sum of its proper divisors (50436846180).

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

18131023260 is a wasteful number, since it uses less digits than its factorization.

18131023260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 18131023260 in words is "eighteen billion, one hundred thirty-one million, twenty-three thousand, two hundred sixty".