Search a number
-
+
18394822656 = 21134723173
BaseRepresentation
bin10001001000011010…
…101011100000000000
31202110222002210220000
4101020122223200000
5300133033311111
612241144520000
71220561261400
oct211032534000
952428083800
1018394822656
11788a441581
123694480000
131971c7b462
14c67044800
15729d97c56
hex4486ab800

18394822656 has 720 divisors, whose sum is σ = 66879933120. Its totient is φ = 5016453120.

The previous prime is 18394822603. The next prime is 18394822673. The reversal of 18394822656 is 65622849381.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 251983836 + ... + 251983908.

It is an arithmetic number, because the mean of its divisors is an integer number (92888796).

Almost surely, 218394822656 is an apocalyptic number.

18394822656 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 18394822656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33439966560).

18394822656 is an abundant number, since it is smaller than the sum of its proper divisors (48485110464).

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

18394822656 is an equidigital number, since it uses as much as digits as its factorization.

18394822656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 116 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 18394822656 in words is "eighteen billion, three hundred ninety-four million, eight hundred twenty-two thousand, six hundred fifty-six".