Search a number
-
+
18079405344 = 253272111317231
BaseRepresentation
bin10000110101100111…
…011101010100100000
31201122222120221200100
4100311213131110200
5244011311432334
612150000222400
71210011260400
oct206547352440
951588527610
1018079405344
117738397910
12360690aa00
1319218130b0
14c371ba800
1570c340c99
hex4359dd520

18079405344 has 1296 divisors, whose sum is σ = 77047117056. Its totient is φ = 3948134400.

The previous prime is 18079405303. The next prime is 18079405397. The reversal of 18079405344 is 44350497081.

18079405344 is a `hidden beast` number, since 1 + 8 + 0 + 79 + 40 + 534 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18079405344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 583206609 + ... + 583206639.

It is an arithmetic number, because the mean of its divisors is an integer number (59449936).

Almost surely, 218079405344 is an apocalyptic number.

18079405344 is a gapful number since it is divisible by the number (14) 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 18079405344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38523558528).

18079405344 is an abundant number, since it is smaller than the sum of its proper divisors (58967711712).

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

18079405344 is a wasteful number, since it uses less digits than its factorization.

18079405344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 18079405344 in words is "eighteen billion, seventy-nine million, four hundred five thousand, three hundred forty-four".