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9983049120 = 2534511239293
BaseRepresentation
bin10010100110000100…
…10011110110100000
3221202201212102220000
421103002103312200
5130421130032440
64330335220000
7502250342322
oct112302236640
927681772800
109983049120
114263197620
121b27377600
13c31333b75
146a9bcd612
153d6660730
hex253093da0

9983049120 has 480 divisors, whose sum is σ = 38727279360. Its totient is φ = 2401781760.

The previous prime is 9983049113. The next prime is 9983049127. The reversal of 9983049120 is 219403899.

It is an interprime number because it is at equal distance from previous prime (9983049113) and next prime (9983049127).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×99830491202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9983049127) 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, 34071694 + ... + 34071986.

It is an arithmetic number, because the mean of its divisors is an integer number (80681832).

Almost surely, 29983049120 is an apocalyptic number.

9983049120 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 9983049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19363639680).

9983049120 is an abundant number, since it is smaller than the sum of its proper divisors (28744230240).

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

9983049120 is a wasteful number, since it uses less digits than its factorization.

9983049120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9983049120 is about 99915.2096529853. The cubic root of 9983049120 is about 2153.2166827660.

The spelling of 9983049120 in words is "nine billion, nine hundred eighty-three million, forty-nine thousand, one hundred twenty".