Search a number
-
+
16804884096 = 27327111321959
BaseRepresentation
bin11111010011010011…
…00010111010000000
31121101011100120012200
433221221202322000
5233404022242341
611415310553200
71133304105120
oct175151427200
947334316180
1016804884096
117143a12170
12330bb08800
13177a759200
14b55c0cc80
156854d4db6
hex3e9a62e80

16804884096 has 1152 divisors, whose sum is σ = 69885504000. Its totient is φ = 3752386560.

The previous prime is 16804884053. The next prime is 16804884193. The reversal of 16804884096 is 69048840861.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 284828515 + ... + 284828573.

It is an arithmetic number, because the mean of its divisors is an integer number (60664500).

Almost surely, 216804884096 is an apocalyptic number.

16804884096 is a gapful number since it is divisible by the number (16) 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 16804884096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34942752000).

16804884096 is an abundant number, since it is smaller than the sum of its proper divisors (53080619904).

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

16804884096 is a wasteful number, since it uses less digits than its factorization.

16804884096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 16804884096 in words is "sixteen billion, eight hundred four million, eight hundred eighty-four thousand, ninety-six".