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18115153920 = 212325293389
BaseRepresentation
bin10000110111101111…
…110101000000000000
31201202110212011111200
4100313233311000000
5244044434411140
612153314341200
71210624160553
oct206757650000
951673764450
1018115153920
117756594296
12361688a800
13192904b7b6
14c3bc4469a
15710553030
hex437bf5000

18115153920 has 312 divisors, whose sum is σ = 64975926600. Its totient is φ = 4662755328.

The previous prime is 18115153919. The next prime is 18115153939. The reversal of 18115153920 is 2935151181.

18115153920 is a `hidden beast` number, since 1 + 8 + 115 + 1 + 539 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6471880704 + 11643273216 = 80448^2 + 107904^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5343586 + ... + 5346974.

It is an arithmetic number, because the mean of its divisors is an integer number (208256175).

Almost surely, 218115153920 is an apocalyptic number.

18115153920 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 18115153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32487963300).

18115153920 is an abundant number, since it is smaller than the sum of its proper divisors (46860772680).

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

18115153920 is a wasteful number, since it uses less digits than its factorization.

18115153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 18115153920 in words is "eighteen billion, one hundred fifteen million, one hundred fifty-three thousand, nine hundred twenty".