Search a number
-
+
16042904064 = 293411223139
BaseRepresentation
bin11101111000011101…
…10100101000000000
31112102001112222010000
432330032310220000
5230323440412224
611211531040000
71105362302025
oct167416645000
945361488100
1016042904064
11689288a300
1231388a0000
131688928855
14ac293d54c
1563d66d0c9
hex3bc3b4a00

16042904064 has 600 divisors, whose sum is σ = 55316147040. Its totient is φ = 4616663040.

The previous prime is 16042903999. The next prime is 16042904071. The reversal of 16042904064 is 46040924061.

16042904064 is a `hidden beast` number, since 1 + 604 + 2 + 9 + 0 + 40 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 115416507 + ... + 115416645.

Almost surely, 216042904064 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 16042904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27658073520).

16042904064 is an abundant number, since it is smaller than the sum of its proper divisors (39273242976).

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

16042904064 is a wasteful number, since it uses less digits than its factorization.

16042904064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16042904064 in words is "sixteen billion, forty-two million, nine hundred four thousand, sixty-four".