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9820995000 = 2335429107211
BaseRepresentation
bin10010010010110000…
…00111110110111000
3221100102221020102120
421021120013312320
5130103133320000
64302310001240
7465242036325
oct111130076670
927312836376
109820995000
11418a7719a3
121aa1046220
13c068a445b
14692487b4c
153c72ee6a0
hex249607db8

9820995000 has 320 divisors, whose sum is σ = 32187196800. Its totient is φ = 2493120000.

The previous prime is 9820994977. The next prime is 9820995007. The reversal of 9820995000 is 5990289.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9820995007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46544895 + ... + 46545105.

It is an arithmetic number, because the mean of its divisors is an integer number (100584990).

Almost surely, 29820995000 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 9820995000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16093598400).

9820995000 is an abundant number, since it is smaller than the sum of its proper divisors (22366201800).

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

9820995000 is a wasteful number, since it uses less digits than its factorization.

9820995000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 9820995000 is about 99100.9333962097. The cubic root of 9820995000 is about 2141.5020607254.

The spelling of 9820995000 in words is "nine billion, eight hundred twenty million, nine hundred ninety-five thousand".