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18157453920 = 25325311372969
BaseRepresentation
bin10000111010010001…
…001100001001100000
31201212102110020012100
4100322101030021200
5244141302011140
612201425130400
71211646545304
oct207221141140
951772406170
1018157453920
117778455971
123628a89a00
131934a3c198
14c436d5d04
1571410b530
hex43a44c260

18157453920 has 288 divisors, whose sum is σ = 64449665280. Its totient is φ = 4650024960.

The previous prime is 18157453903. The next prime is 18157453927. The reversal of 18157453920 is 2935475181.

18157453920 is a `hidden beast` number, since 1 + 8 + 1 + 574 + 53 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18157453927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6114196 + ... + 6117164.

It is an arithmetic number, because the mean of its divisors is an integer number (223783560).

Almost surely, 218157453920 is an apocalyptic number.

18157453920 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 18157453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32224832640).

18157453920 is an abundant number, since it is smaller than the sum of its proper divisors (46292211360).

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

18157453920 is a wasteful number, since it uses less digits than its factorization.

18157453920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 18157453920 in words is "eighteen billion, one hundred fifty-seven million, four hundred fifty-three thousand, nine hundred twenty".