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18874800000 = 27325572107
BaseRepresentation
bin10001100101000001…
…101001011110000000
31210201102021012000200
4101211001221132000
5302123422100000
612400532245200
71235510103300
oct214501513600
953642235020
1018874800000
118006372671
1237a9170800
131a1a542a14
14cb0aa7600
157570a8500
hex465069780

18874800000 has 864 divisors, whose sum is σ = 79710288840. Its totient is φ = 4273920000.

The previous prime is 18874799989. The next prime is 18874800019. The reversal of 18874800000 is 847881.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 176399947 + ... + 176400053.

Almost surely, 218874800000 is an apocalyptic number.

18874800000 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 18874800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39855144420).

18874800000 is an abundant number, since it is smaller than the sum of its proper divisors (60835488840).

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

18874800000 is an equidigital number, since it uses as much as digits as its factorization.

18874800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 18874800000 in words is "eighteen billion, eight hundred seventy-four million, eight hundred thousand".