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10399316928 = 2637112134919
BaseRepresentation
bin10011010111101100…
…01111101111000000
3222211202011000222020
421223312033233000
5132244211120203
64435525241440
7515463510150
oct115366175700
928752130866
1010399316928
114457163800
122022863280
13c9964cb90
147091ca760
1540ce89153
hex26bd8fbc0

10399316928 has 336 divisors, whose sum is σ = 37230466560. Its totient is φ = 2492835840.

The previous prime is 10399316923. The next prime is 10399316929. The reversal of 10399316928 is 82961399301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10399316923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2111653 + ... + 2116571.

It is an arithmetic number, because the mean of its divisors is an integer number (110804960).

Almost surely, 210399316928 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 10399316928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615233280).

10399316928 is an abundant number, since it is smaller than the sum of its proper divisors (26831149632).

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

10399316928 is a wasteful number, since it uses less digits than its factorization.

10399316928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 51.

The spelling of 10399316928 in words is "ten billion, three hundred ninety-nine million, three hundred sixteen thousand, nine hundred twenty-eight".