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9790113024 = 283223239773
BaseRepresentation
bin10010001111000100…
…10100010100000000
3221021021211021022200
421013202110110000
5130022232104044
64255244033200
7464415405366
oct110742242400
927237737280
109790113024
1141742998aa
121a92832800
13c00380bb3
1468c329636
153c474e369
hex247894500

9790113024 has 216 divisors, whose sum is σ = 29616088320. Its totient is φ = 3104403456.

The previous prime is 9790112951. The next prime is 9790113031. The reversal of 9790113024 is 4203110979.

It is a Cunningham number, because it is equal to 989452-1.

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 9790113024.

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 23 ways as a sum of consecutive naturals, for example, 12664702 + ... + 12665474.

It is an arithmetic number, because the mean of its divisors is an integer number (137111520).

Almost surely, 29790113024 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 9790113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14808044160).

9790113024 is an abundant number, since it is smaller than the sum of its proper divisors (19825975296).

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

9790113024 is a wasteful number, since it uses less digits than its factorization.

9790113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9790113024 is about 98944.9999949467. Note that the first 5 decimals coincide. The cubic root of 9790113024 is about 2139.2550631611.

The spelling of 9790113024 in words is "nine billion, seven hundred ninety million, one hundred thirteen thousand, twenty-four".