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9983456849 is a prime number
BaseRepresentation
bin10010100110000111…
…10111011001010001
3221202202122011012002
421103003313121101
5130421231104344
64330352043345
7502253661122
oct112303673121
927682564162
109983456849
114263445993
121b27533555
13c31447622
146a9c98049
153d66e144e
hex2530f7651

9983456849 has 2 divisors, whose sum is σ = 9983456850. Its totient is φ = 9983456848.

The previous prime is 9983456723. The next prime is 9983456867. The reversal of 9983456849 is 9486543899.

9983456849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5250016849 + 4733440000 = 72457^2 + 68800^2 .

It is a cyclic number.

It is not a de Polignac number, because 9983456849 - 224 = 9966679633 is a prime.

It is not a weakly prime, because it can be changed into another prime (9983456869) 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 as a sum of consecutive naturals, namely, 4991728424 + 4991728425.

It is an arithmetic number, because the mean of its divisors is an integer number (4991728425).

Almost surely, 29983456849 is an apocalyptic number.

It is an amenable number.

9983456849 is a deficient number, since it is larger than the sum of its proper divisors (1).

9983456849 is an equidigital number, since it uses as much as digits as its factorization.

9983456849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 67184640, while the sum is 65.

The square root of 9983456849 is about 99917.2500071935. The cubic root of 9983456849 is about 2153.2459963528.

The spelling of 9983456849 in words is "nine billion, nine hundred eighty-three million, four hundred fifty-six thousand, eight hundred forty-nine".