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9982300032 = 2735487659
BaseRepresentation
bin10010100101111110…
…11100111110000000
3221202200110101100000
421102333130332000
5130420432100112
64330311200000
7502241102355
oct112277347600
927680411300
109982300032
114262825841
121b27076000
13c31130c13
146a9a7662c
153d65637dc
hex252fdcf80

9982300032 has 192 divisors, whose sum is σ = 29895465600. Its totient is φ = 3315561984.

The previous prime is 9982300021. The next prime is 9982300033. The reversal of 9982300032 is 2300032899.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 9982300032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9982300033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15147319 + ... + 15147977.

It is an arithmetic number, because the mean of its divisors is an integer number (155705550).

Almost surely, 29982300032 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 9982300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14947732800).

9982300032 is an abundant number, since it is smaller than the sum of its proper divisors (19913165568).

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

9982300032 is an equidigital number, since it uses as much as digits as its factorization.

9982300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9982300032 is about 99911.4609641957. The cubic root of 9982300032 is about 2153.1628251685.

The spelling of 9982300032 in words is "nine billion, nine hundred eighty-two million, three hundred thousand, thirty-two".