Search a number
-
+
16675792320 = 26351117194889
BaseRepresentation
bin11111000011111010…
…00110010111000000
31121001011110000120210
433201331012113000
5233123000323240
611354420034120
71130145616215
oct174175062700
947034400523
1016675792320
117088060650
123294832940
131759a9ac45
14b42a07b0c
15678ed5780
hex3e1f465c0

16675792320 has 448 divisors, whose sum is σ = 64388390400. Its totient is φ = 3603824640.

The previous prime is 16675792271. The next prime is 16675792349. The reversal of 16675792320 is 2329757661.

16675792320 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16675792320.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3408436 + ... + 3413324.

Almost surely, 216675792320 is an apocalyptic number.

16675792320 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 16675792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32194195200).

16675792320 is an abundant number, since it is smaller than the sum of its proper divisors (47712598080).

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

16675792320 is a wasteful number, since it uses less digits than its factorization.

16675792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4956 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 16675792320 in words is "sixteen billion, six hundred seventy-five million, seven hundred ninety-two thousand, three hundred twenty".