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9980139312 = 243211134111821
BaseRepresentation
bin10010100101101110…
…01101011100110000
3221202112101121101100
421102313031130300
5130414403424222
64330153004400
7502213533033
oct112267153460
927675347340
109980139312
11426158a420
121b263b3700
13c308555a0
146a967301a
153d62884ac
hex252dcd730

9980139312 has 240 divisors, whose sum is σ = 33616660896. Its totient is φ = 2723328000.

The previous prime is 9980139251. The next prime is 9980139317. The reversal of 9980139312 is 2139310899.

It is a happy number.

9980139312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9980139317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838362 + ... + 850182.

Almost surely, 29980139312 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 9980139312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16808330448).

9980139312 is an abundant number, since it is smaller than the sum of its proper divisors (23636521584).

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

9980139312 is a wasteful number, since it uses less digits than its factorization.

9980139312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11900 (or 11891 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 9980139312 is about 99900.6472051107. The cubic root of 9980139312 is about 2153.0074595820.

The spelling of 9980139312 in words is "nine billion, nine hundred eighty million, one hundred thirty-nine thousand, three hundred twelve".