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10393790400 = 26365271967
BaseRepresentation
bin10011010111000010…
…01010011111000000
3222211100202021000000
421223201022133000
5132241302243100
64435211000000
7515365521630
oct115341123700
928740667000
1010393790400
114454029624
122020a39000
13c98466546
1470858c6c0
1540c746900
hex26b84a7c0

10393790400 has 1176 divisors, whose sum is σ = 46818174080. Its totient is φ = 2217093120.

The previous prime is 10393790369. The next prime is 10393790411. The reversal of 10393790400 is 409739301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 155131167 + ... + 155131233.

Almost surely, 210393790400 is an apocalyptic number.

10393790400 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 10393790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23409087040).

10393790400 is an abundant number, since it is smaller than the sum of its proper divisors (36424383680).

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

10393790400 is an equidigital number, since it uses as much as digits as its factorization.

10393790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 10393790400 in words is "ten billion, three hundred ninety-three million, seven hundred ninety thousand, four hundred".