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18974127168 = 26321913912473
BaseRepresentation
bin10001101010111100…
…100011010001000000
31210222100011112021200
4101222330203101000
5302324334032133
612414441221200
71241124264003
oct215274432100
953870145250
1018974127168
118057444637
123816491800
131a34cac1a9
14cbdd6153a
15760b78913
hex46af23440

18974127168 has 168 divisors, whose sum is σ = 57664807200. Its totient is φ = 5948246016.

The previous prime is 18974127167. The next prime is 18974127169. The reversal of 18974127168 is 86172147981.

18974127168 is a `hidden beast` number, since 18 + 97 + 412 + 71 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (18974127167) and next prime (18974127169).

It is not an unprimeable number, because it can be changed into a prime (18974127167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1514980 + ... + 1527452.

It is an arithmetic number, because the mean of its divisors is an integer number (343242900).

Almost surely, 218974127168 is an apocalyptic number.

18974127168 is a gapful number since it is divisible by the number (18) 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 18974127168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28832403600).

18974127168 is an abundant number, since it is smaller than the sum of its proper divisors (38690680032).

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

18974127168 is a wasteful number, since it uses less digits than its factorization.

18974127168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12649 (or 12636 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The spelling of 18974127168 in words is "eighteen billion, nine hundred seventy-four million, one hundred twenty-seven thousand, one hundred sixty-eight".