Search a number
-
+
16023920640 = 213357131433
BaseRepresentation
bin11101110110001100…
…11010000000000000
31112100201211111202020
432323012122000000
5230304110430030
611210012121440
71105042035540
oct167306320000
945321744666
1016023920640
1168830a3822
123132466280
131684a10060
14ac01db320
1563bb6d510
hex3bb19a000

16023920640 has 448 divisors, whose sum is σ = 63149780736. Its totient is φ = 3378511872.

The previous prime is 16023920611. The next prime is 16023920659. The reversal of 16023920640 is 4602932061.

It is a tau number, because it is divible by the number of its divisors (448).

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 31 ways as a sum of consecutive naturals, for example, 11181364 + ... + 11182796.

It is an arithmetic number, because the mean of its divisors is an integer number (140959332).

Almost surely, 216023920640 is an apocalyptic number.

16023920640 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 16023920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31574890368).

16023920640 is an abundant number, since it is smaller than the sum of its proper divisors (47125860096).

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

16023920640 is a wasteful number, since it uses less digits than its factorization.

16023920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 16023920640 in words is "sixteen billion, twenty-three million, nine hundred twenty thousand, six hundred forty".