Search a number
-
+
6918075864 = 2338719991
BaseRepresentation
bin1100111000101100…
…10111010111011000
3122212010120200000000
412130112113113120
5103132011411424
63102250213000
7333302450250
oct63426272730
918763520000
106918075864
112a30089877
121410a24160
13863350b1b
14498b12960
152a75353c9
hex19c5975d8

6918075864 has 288 divisors, whose sum is σ = 23429452800. Its totient is φ = 1870672320.

The previous prime is 6918075839. The next prime is 6918075893. The reversal of 6918075864 is 4685708196.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6918075864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6980409 + ... + 6981399.

Almost surely, 26918075864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6918075864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11714726400).

6918075864 is an abundant number, since it is smaller than the sum of its proper divisors (16511376936).

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

6918075864 is an equidigital number, since it uses as much as digits as its factorization.

6918075864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 6918075864 is about 83174.9713796164. The cubic root of 6918075864 is about 1905.4392489503.

The spelling of 6918075864 in words is "six billion, nine hundred eighteen million, seventy-five thousand, eight hundred sixty-four".