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18376819920 = 24345412632
BaseRepresentation
bin10001000111010110…
…000000010011010000
31202102201020011210000
4101013112000103100
5300113431214140
612235303010000
71220252251314
oct210726002320
952381204700
1018376819920
117880265888
12368a439900
13196b317154
14c648b9b44
157284dda30
hex4475804d0

18376819920 has 300 divisors, whose sum is σ = 65631682116. Its totient is φ = 4762782720.

The previous prime is 18376819897. The next prime is 18376819921. The reversal of 18376819920 is 2991867381.

It can be written as a sum of positive squares in 2 ways, for example, as 3227148864 + 15149671056 = 56808^2 + 123084^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18376819921) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 69873709 + ... + 69873971.

Almost surely, 218376819920 is an apocalyptic number.

18376819920 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 18376819920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32815841058).

18376819920 is an abundant number, since it is smaller than the sum of its proper divisors (47254862196).

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

18376819920 is an equidigital number, since it uses as much as digits as its factorization.

18376819920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 18376819920 in words is "eighteen billion, three hundred seventy-six million, eight hundred nineteen thousand, nine hundred twenty".