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18794483136 = 26381113313
BaseRepresentation
bin10001100000001111…
…010000110111000000
31210111211010200000000
4101200033100313000
5301442341430021
612344543000000
71233513320322
oct214017206700
953454120000
1018794483136
117a74aa53a0
123786299000
131a06a01350
14ca415b612
1574eee0b26
hex4603d0dc0

18794483136 has 504 divisors, whose sum is σ = 65929818864. Its totient is φ = 5240401920.

The previous prime is 18794483089. The next prime is 18794483167. The reversal of 18794483136 is 63138449781.

18794483136 is a `hidden beast` number, since 187 + 9 + 448 + 3 + 13 + 6 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 60046116 + ... + 60046428.

Almost surely, 218794483136 is an apocalyptic number.

18794483136 is a gapful number since it is divisible by the number (16) 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 18794483136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32964909432).

18794483136 is an abundant number, since it is smaller than the sum of its proper divisors (47135335728).

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

18794483136 is an equidigital number, since it uses as much as digits as its factorization.

18794483136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 342 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 18794483136 in words is "eighteen billion, seven hundred ninety-four million, four hundred eighty-three thousand, one hundred thirty-six".