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9620640000 = 28335417131
BaseRepresentation
bin10001111010110111…
…10101000100000000
3220211110221011001000
420331123311010000
5124200340440000
64230351412000
7460260043056
oct107533650400
926743834030
109620640000
114097667254
121a45b24000
13ba42246ba
14673a121d6
153b4925000
hex23d6f5100

9620640000 has 720 divisors, whose sum is σ = 37929608640. Its totient is φ = 2396160000.

The previous prime is 9620639999. The next prime is 9620640019. The reversal of 9620640000 is 460269.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73439935 + ... + 73440065.

It is an arithmetic number, because the mean of its divisors is an integer number (52680012).

Almost surely, 29620640000 is an apocalyptic number.

9620640000 is a gapful number since it is divisible by the number (90) 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 9620640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18964804320).

9620640000 is an abundant number, since it is smaller than the sum of its proper divisors (28308968640).

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

9620640000 is a wasteful number, since it uses less digits than its factorization.

9620640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9620640000 is about 98084.8612172133. The cubic root of 9620640000 is about 2126.8391920299.

The spelling of 9620640000 in words is "nine billion, six hundred twenty million, six hundred forty thousand".