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18327124992 = 2103111761523
BaseRepresentation
bin10001000100011000…
…011011110000000000
31202022020201102011010
4101010120123300000
5300013220444432
612230325520520
71216106664201
oct210430336000
952266642133
1018327124992
1178552032a0
123675873140
131960c37877
14c5c0615a8
15723e743cc
hex44461bc00

18327124992 has 352 divisors, whose sum is σ = 57458536704. Its totient is φ = 5131468800.

The previous prime is 18327124951. The next prime is 18327124999. The reversal of 18327124992 is 29942172381.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18327124999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35042043 + ... + 35042565.

Almost surely, 218327124992 is an apocalyptic number.

18327124992 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 18327124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28729268352).

18327124992 is an abundant number, since it is smaller than the sum of its proper divisors (39131411712).

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

18327124992 is a wasteful number, since it uses less digits than its factorization.

18327124992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 617 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The spelling of 18327124992 in words is "eighteen billion, three hundred twenty-seven million, one hundred twenty-four thousand, nine hundred ninety-two".