Search a number
-
+
16004944368 = 243273137109127
BaseRepresentation
bin11101110011111100…
…00001000111110000
31112022102010102012100
432321332001013300
5230234231204433
611204053300400
71104421532250
oct167176010760
945272112170
1016004944368
116873412656
123128034700
131680ac78aa
14abb89b960
1563a170b13
hex3b9f811f0

16004944368 has 480 divisors, whose sum is σ = 55199006720. Its totient is φ = 4232632320.

The previous prime is 16004944339. The next prime is 16004944391. The reversal of 16004944368 is 86344940061.

16004944368 is a `hidden beast` number, since 1 + 60 + 0 + 494 + 43 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126023121 + ... + 126023247.

Almost surely, 216004944368 is an apocalyptic number.

16004944368 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 16004944368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27599503360).

16004944368 is an abundant number, since it is smaller than the sum of its proper divisors (39194062352).

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

16004944368 is a wasteful number, since it uses less digits than its factorization.

16004944368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 16004944368 in words is "sixteen billion, four million, nine hundred forty-four thousand, three hundred sixty-eight".