Search a number
-
+
16104178080 = 2533519196201
BaseRepresentation
bin11101111111110001…
…00100000110100000
31112120022212000021000
432333320210012200
5230440132144310
611222000232000
71110035153334
oct167770440640
945508760230
1016104178080
116914430391
12315530b600
131698530673
14acab2d7c4
15643c234c0
hex3bfe241a0

16104178080 has 192 divisors, whose sum is σ = 59331484800. Its totient is φ = 4068403200.

The previous prime is 16104178049. The next prime is 16104178091. The reversal of 16104178080 is 8087140161.

16104178080 is a `hidden beast` number, since 161 + 0 + 417 + 8 + 0 + 80 = 666.

16104178080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16021 + ... + 180180.

It is an arithmetic number, because the mean of its divisors is an integer number (309018150).

Almost surely, 216104178080 is an apocalyptic number.

16104178080 is a gapful number since it is divisible by the number (10) 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 16104178080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29665742400).

16104178080 is an abundant number, since it is smaller than the sum of its proper divisors (43227306720).

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

16104178080 is a wasteful number, since it uses less digits than its factorization.

16104178080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196244 (or 196230 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

It can be divided in two parts, 161041 and 78080, that added together give a square (239121 = 4892).

The spelling of 16104178080 in words is "sixteen billion, one hundred four million, one hundred seventy-eight thousand, eighty".