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9924130528 = 2513172233797
BaseRepresentation
bin10010011111000011…
…00011011011100000
3221121122000001202221
421033201203123200
5130311034134103
64320432320424
7500633501104
oct111741433340
927548001687
109924130528
114232a05174
121b0b6a3114
13c220751b0
146a2053904
153d13c31bd
hex24f8636e0

9924130528 has 288 divisors, whose sum is σ = 24200697024. Its totient is φ = 3970695168.

The previous prime is 9924130523. The next prime is 9924130537. The reversal of 9924130528 is 8250314299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9924130523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102310576 + ... + 102310672.

It is an arithmetic number, because the mean of its divisors is an integer number (84030198).

Almost surely, 29924130528 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 9924130528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12100348512).

9924130528 is an abundant number, since it is smaller than the sum of its proper divisors (14276566496).

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

9924130528 is a wasteful number, since it uses less digits than its factorization.

9924130528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 9924130528 is about 99619.9303754023. The cubic root of 9924130528 is about 2148.9723250145.

The spelling of 9924130528 in words is "nine billion, nine hundred twenty-four million, one hundred thirty thousand, five hundred twenty-eight".