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9683997120 = 26355717791
BaseRepresentation
bin10010000010011011…
…00001000111000000
3220222220011000200000
421001031201013000
5124313100401440
64240533400000
7461656421520
oct110115410700
926886130600
109683997120
11411a400406
121a63199000
13bb43a8715
1467c1c5680
153ba28c730
hex2413611c0

9683997120 has 336 divisors, whose sum is σ = 39479451648. Its totient is φ = 2213360640.

The previous prime is 9683997097. The next prime is 9683997139. The reversal of 9683997120 is 217993869.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535425 + ... + 553215.

It is an arithmetic number, because the mean of its divisors is an integer number (117498368).

Almost surely, 29683997120 is an apocalyptic number.

9683997120 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 9683997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19739725824).

9683997120 is an abundant number, since it is smaller than the sum of its proper divisors (29795454528).

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

9683997120 is a wasteful number, since it uses less digits than its factorization.

9683997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17830 (or 17808 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 9683997120 is about 98407.3021680810. The cubic root of 9683997120 is about 2131.4977761423.

The spelling of 9683997120 in words is "nine billion, six hundred eighty-three million, nine hundred ninety-seven thousand, one hundred twenty".