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9982142352 = 2433713318191
BaseRepresentation
bin10010100101111101…
…10110011110010000
3221202200011101001000
421102332312132100
5130420412023402
64330303542000
7502236544560
oct112276663620
927680141030
109982142352
114262728326
121b26bba900
13c310a7210
146a9a34da0
153d6531c1c
hex252fb6790

9982142352 has 320 divisors, whose sum is σ = 36406558720. Its totient is φ = 2547417600.

The previous prime is 9982142231. The next prime is 9982142381. The reversal of 9982142352 is 2532412899.

It is a junction number, because it is equal to n+sod(n) for n = 9982142298 and 9982142307.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1214577 + ... + 1222767.

It is an arithmetic number, because the mean of its divisors is an integer number (113770496).

Almost surely, 29982142352 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 9982142352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18203279360).

9982142352 is an abundant number, since it is smaller than the sum of its proper divisors (26424416368).

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

9982142352 is a wasteful number, since it uses less digits than its factorization.

9982142352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8259 (or 8247 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 9982142352 is about 99910.6718624192. The cubic root of 9982142352 is about 2153.1514880184.

The spelling of 9982142352 in words is "nine billion, nine hundred eighty-two million, one hundred forty-two thousand, three hundred fifty-two".