Search a number
-
+
18944851968 = 21533721923
BaseRepresentation
bin10001101001001100…
…111000000000000000
31210220022002012021000
4101221030320000000
5302244340230333
612411513532000
71240320404400
oct215114700000
953808065230
1018944851968
118041969759
123808714000
131a2bbcc0a3
14cba100800
1575d2e4713
hex469338000

18944851968 has 768 divisors, whose sum is σ = 71721504000. Its totient is φ = 4904976384.

The previous prime is 18944851951. The next prime is 18944851973. The reversal of 18944851968 is 86915844981.

18944851968 is a `hidden beast` number, since 1 + 8 + 94 + 485 + 1 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (19906560) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823689205 + ... + 823689227.

It is an arithmetic number, because the mean of its divisors is an integer number (93387375).

Almost surely, 218944851968 is an apocalyptic number.

18944851968 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 18944851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35860752000).

18944851968 is an abundant number, since it is smaller than the sum of its proper divisors (52776652032).

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

18944851968 is an equidigital number, since it uses as much as digits as its factorization.

18944851968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The spelling of 18944851968 in words is "eighteen billion, nine hundred forty-four million, eight hundred fifty-one thousand, nine hundred sixty-eight".