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10399688640 = 263251132713
BaseRepresentation
bin10011010111101111…
…01010011111000000
3222211202211220212100
421223313222133000
5132244310014030
64435541230400
7515466615645
oct115367523700
928752756770
1010399688640
114457398000
122022a02400
13c99750123
14709285dcc
1540d00e360
hex26bdea7c0

10399688640 has 336 divisors, whose sum is σ = 39359470176. Its totient is φ = 2520207360.

The previous prime is 10399688623. The next prime is 10399688641. The reversal of 10399688640 is 4688699301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10399688641) 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, 3831924 + ... + 3834636.

Almost surely, 210399688640 is an apocalyptic number.

10399688640 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 10399688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19679735088).

10399688640 is an abundant number, since it is smaller than the sum of its proper divisors (28959781536).

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

10399688640 is a wasteful number, since it uses less digits than its factorization.

10399688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 10399688640 in words is "ten billion, three hundred ninety-nine million, six hundred eighty-eight thousand, six hundred forty".