Search a number
-
+
9946324608 = 2731123372767
BaseRepresentation
bin10010100001101100…
…01101111010000000
3221200011202122022220
421100312031322000
5130332224341413
64322544131040
7501323235633
oct112066157200
927604678286
109946324608
114244493990
121b17006a80
13c2684619c
146a4d8dc1a
153d3309223
hex250d8de80

9946324608 has 256 divisors, whose sum is σ = 30898851840. Its totient is φ = 2804060160.

The previous prime is 9946324579. The next prime is 9946324637. The reversal of 9946324608 is 8064236499.

It is an interprime number because it is at equal distance from previous prime (9946324579) and next prime (9946324637).

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, 3593241 + ... + 3596007.

It is an arithmetic number, because the mean of its divisors is an integer number (120698640).

Almost surely, 29946324608 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 9946324608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15449425920).

9946324608 is an abundant number, since it is smaller than the sum of its proper divisors (20952527232).

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

9946324608 is a wasteful number, since it uses less digits than its factorization.

9946324608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The square root of 9946324608 is about 99731.2619392736. The cubic root of 9946324608 is about 2150.5731018091.

The spelling of 9946324608 in words is "nine billion, nine hundred forty-six million, three hundred twenty-four thousand, six hundred eight".