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10199322720 = 25325174011039
BaseRepresentation
bin10010111111110110…
…10101000001100000
3222022210211021111100
421133323111001200
5131342011311340
64404022514400
7510514545516
oct113773250140
928283737440
1010199322720
114364285134
121b87895a00
13c67098402
146ca80a4b6
153ea631830
hex25fed5060

10199322720 has 288 divisors, whose sum is σ = 36980012160. Its totient is φ = 2550988800.

The previous prime is 10199322697. The next prime is 10199322733. The reversal of 10199322720 is 2722399101.

10199322720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9815961 + ... + 9816999.

It is an arithmetic number, because the mean of its divisors is an integer number (128402820).

Almost surely, 210199322720 is an apocalyptic number.

10199322720 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 10199322720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18490006080).

10199322720 is an abundant number, since it is smaller than the sum of its proper divisors (26780689440).

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

10199322720 is a wasteful number, since it uses less digits than its factorization.

10199322720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10199322720 in words is "ten billion, one hundred ninety-nine million, three hundred twenty-two thousand, seven hundred twenty".