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18931863132 = 223371323611373
BaseRepresentation
bin10001101000011011…
…010100111001011100
31210212101122021221000
4101220123110321130
5302233024110012
612410331310300
71240102116150
oct215033247134
953771567830
1018931863132
1180355a7a86
1238042ab390
131a29301ca0
14cb84bd060
1575c0caddc
hex4686d4e5c

18931863132 has 384 divisors, whose sum is σ = 64115896320. Its totient is φ = 4694215680.

The previous prime is 18931863121. The next prime is 18931863151. The reversal of 18931863132 is 23136813981.

18931863132 is a `hidden beast` number, since 1 + 8 + 9 + 3 + 1 + 8 + 631 + 3 + 2 = 666.

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, 13787998 + ... + 13789370.

It is an arithmetic number, because the mean of its divisors is an integer number (166968480).

Almost surely, 218931863132 is an apocalyptic number.

18931863132 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 18931863132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32057948160).

18931863132 is an abundant number, since it is smaller than the sum of its proper divisors (45184033188).

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

18931863132 is a wasteful number, since it uses less digits than its factorization.

18931863132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1482 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 18931863132 in words is "eighteen billion, nine hundred thirty-one million, eight hundred sixty-three thousand, one hundred thirty-two".