Search a number
-
+
16326910080 = 2732513377183
BaseRepresentation
bin11110011010010100…
…01110000010000000
31120010211221222010100
433031022032002000
5231414142110310
611300034202400
71115411305635
oct171512160200
946124858110
1016326910080
116a1912a218
1231b7a23400
131702716750
14b0c54c18c
1565856cec0
hex3cd28e080

16326910080 has 768 divisors, whose sum is σ = 63996791040. Its totient is φ = 3808788480.

The previous prime is 16326910057. The next prime is 16326910133. The reversal of 16326910080 is 8001962361.

16326910080 is a `hidden beast` number, since 1 + 632 + 6 + 9 + 10 + 0 + 8 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196709719 + ... + 196709801.

It is an arithmetic number, because the mean of its divisors is an integer number (83329155).

Almost surely, 216326910080 is an apocalyptic number.

16326910080 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 16326910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31998395520).

16326910080 is an abundant number, since it is smaller than the sum of its proper divisors (47669880960).

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

16326910080 is a wasteful number, since it uses less digits than its factorization.

16326910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 16326910080 in words is "sixteen billion, three hundred twenty-six million, nine hundred ten thousand, eighty".