Search a number
-
+
16670505984 = 2103112389241
BaseRepresentation
bin11111000011010001…
…11011110000000000
31121000210111110002120
433201220323300000
5233120122142414
611354110444240
71130052651156
oct174150736000
947023443076
1016670505984
11708507a980
123292b03680
131758969a32
14b4202d3d6
156787de2a9
hex3e1a3bc00

16670505984 has 352 divisors, whose sum is σ = 51360376320. Its totient is φ = 4757913600.

The previous prime is 16670505953. The next prime is 16670506033. The reversal of 16670505984 is 48950507661.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69172104 + ... + 69172344.

It is an arithmetic number, because the mean of its divisors is an integer number (145910160).

Almost surely, 216670505984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16670505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25680188160).

16670505984 is an abundant number, since it is smaller than the sum of its proper divisors (34689870336).

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

16670505984 is a wasteful number, since it uses less digits than its factorization.

16670505984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 16670505984 in words is "sixteen billion, six hundred seventy million, five hundred five thousand, nine hundred eighty-four".