Search a number
-
+
18056134656 = 214337417
BaseRepresentation
bin10000110100001110…
…101100000000000000
31201121100210200022000
4100310032230000000
5243434332302111
612143405344000
71206306420000
oct206416540000
951540720260
1018056134656
11772624323a
1235bab68000
131919a56061
14c34080000
1570a295c56
hex4343ac000

18056134656 has 600 divisors, whose sum is σ = 66081864240. Its totient is φ = 4855431168.

The previous prime is 18056134651. The next prime is 18056134661. The reversal of 18056134656 is 65643165081.

18056134656 is a `hidden beast` number, since 1 + 8 + 0 + 561 + 34 + 6 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (18056134651) and next prime (18056134661).

It is not an unprimeable number, because it can be changed into a prime (18056134651) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1062125560 + ... + 1062125576.

Almost surely, 218056134656 is an apocalyptic number.

18056134656 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 18056134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33040932120).

18056134656 is an abundant number, since it is smaller than the sum of its proper divisors (48025729584).

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

18056134656 is an frugal number, since it uses more digits than its factorization.

18056134656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 18056134656 in words is "eighteen billion, fifty-six million, one hundred thirty-four thousand, six hundred fifty-six".