Search a number
-
+
6966246336 = 2637193773101
BaseRepresentation
bin1100111110011100…
…00111101111000000
3122222111012222110120
412133032013233000
5103231324340321
63111130500240
7334426055040
oct63716075700
918874188416
106966246336
112a5529aa85
121424b94680
1387031856a
144a1291720
152ab89cec6
hex19f387bc0

6966246336 has 448 divisors, whose sum is σ = 23313054720. Its totient is φ = 1791590400.

The previous prime is 6966246311. The next prime is 6966246361. The reversal of 6966246336 is 6336426696.

It is an interprime number because it is at equal distance from previous prime (6966246311) and next prime (6966246361).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68972686 + ... + 68972786.

Almost surely, 26966246336 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 6966246336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11656527360).

6966246336 is an abundant number, since it is smaller than the sum of its proper divisors (16346808384).

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

6966246336 is a wasteful number, since it uses less digits than its factorization.

6966246336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 51.

The square root of 6966246336 is about 83464.0421738607. The cubic root of 6966246336 is about 1909.8515400448.

The spelling of 6966246336 in words is "six billion, nine hundred sixty-six million, two hundred forty-six thousand, three hundred thirty-six".