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18972574920 = 23385136783
BaseRepresentation
bin10001101010110110…
…101000010011001000
31210222020020200000000
4101222312220103020
5302323434344140
612414344043000
71241105140335
oct215266502310
953866220000
1018972574920
118056584392
123815a63460
131a348877c0
14cbda7998c
1576096da30
hex46ada84c8

18972574920 has 576 divisors, whose sum is σ = 70826857920. Its totient is φ = 4545040896.

The previous prime is 18972574919. The next prime is 18972574937. The reversal of 18972574920 is 2947527981.

18972574920 is a `hidden beast` number, since 1 + 89 + 72 + 5 + 7 + 492 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 228585199 + ... + 228585281.

It is an arithmetic number, because the mean of its divisors is an integer number (122963295).

Almost surely, 218972574920 is an apocalyptic number.

18972574920 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 18972574920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35413428960).

18972574920 is an abundant number, since it is smaller than the sum of its proper divisors (51854283000).

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

18972574920 is an equidigital number, since it uses as much as digits as its factorization.

18972574920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 18972574920 in words is "eighteen billion, nine hundred seventy-two million, five hundred seventy-four thousand, nine hundred twenty".