Search a number
-
+
16064907264 = 211327891399
BaseRepresentation
bin11101111011000101…
…10000100000000000
31112110120221211211100
432331202300200000
5230400104013024
611214034414400
71106050313220
oct167542604000
945416854740
1016064907264
1168a424866a
123144131400
1316903609b3
14ac582a080
156405677c9
hex3bd8b0800

16064907264 has 288 divisors, whose sum is σ = 53660880000. Its totient is φ = 4535156736.

The previous prime is 16064907247. The next prime is 16064907277. The reversal of 16064907264 is 46270946061.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 11482437 + ... + 11483835.

It is an arithmetic number, because the mean of its divisors is an integer number (186322500).

Almost surely, 216064907264 is an apocalyptic number.

16064907264 is a gapful number since it is divisible by the number (14) 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 16064907264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26830440000).

16064907264 is an abundant number, since it is smaller than the sum of its proper divisors (37595972736).

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

16064907264 is a wasteful number, since it uses less digits than its factorization.

16064907264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 16064907264 in words is "sixteen billion, sixty-four million, nine hundred seven thousand, two hundred sixty-four".