Search a number
-
+
18328826880 = 2103357133147
BaseRepresentation
bin10001000100011110…
…111011010000000000
31202022100220212201000
4101010132323100000
5300014134430010
612230430212000
71216130313030
oct210436732000
952270825630
1018328826880
117856165a11
123676354000
1319613b23c0
14c5c3858c0
157241ad7c0
hex4447bb400

18328826880 has 1408 divisors, whose sum is σ = 84515880960. Its totient is φ = 3662807040.

The previous prime is 18328826821. The next prime is 18328826903. The reversal of 18328826880 is 8862882381.

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 389975017 + ... + 389975063.

Almost surely, 218328826880 is an apocalyptic number.

18328826880 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 18328826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42257940480).

18328826880 is an abundant number, since it is smaller than the sum of its proper divisors (66187054080).

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

18328826880 is a wasteful number, since it uses less digits than its factorization.

18328826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 18328826880 in words is "eighteen billion, three hundred twenty-eight million, eight hundred twenty-six thousand, eight hundred eighty".