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10399989600 = 25335271113237
BaseRepresentation
bin10011010111110001…
…10011111101100000
3222211210102012201000
421223320303331200
5132244344131400
64435551512000
7515502311250
oct115370637540
928753365630
1010399989600
114457583130
122022b28600
13c99827100
14709323960
1540d06d600
hex26be33f60

10399989600 has 1728 divisors, whose sum is σ = 52151662080. Its totient is φ = 1940889600.

The previous prime is 10399989583. The next prime is 10399989659. The reversal of 10399989600 is 698999301.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 281080782 + ... + 281080818.

It is an arithmetic number, because the mean of its divisors is an integer number (30180360).

Almost surely, 210399989600 is an apocalyptic number.

10399989600 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 10399989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26075831040).

10399989600 is an abundant number, since it is smaller than the sum of its proper divisors (41751672480).

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

10399989600 is a wasteful number, since it uses less digits than its factorization.

10399989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

It can be divided in two parts, 10399 and 989600, that added together give a palindrome (999999).

The spelling of 10399989600 in words is "ten billion, three hundred ninety-nine million, nine hundred eighty-nine thousand, six hundred".