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9936519029 is a prime number
BaseRepresentation
bin10010100000100001…
…10011111101110101
3221122111022110121022
421100100303331311
5130322222102104
64321554030525
7501144006143
oct112020637565
927574273538
109936519029
1142399a68a8
121b13878445
13c247c1c78
146a395a593
153d251dbbe
hex250433f75

9936519029 has 2 divisors, whose sum is σ = 9936519030. Its totient is φ = 9936519028.

The previous prime is 9936519011. The next prime is 9936519031. The reversal of 9936519029 is 9209156399.

9936519029 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., 9584018404 + 352500625 = 97898^2 + 18775^2 .

It is a cyclic number.

It is not a de Polignac number, because 9936519029 - 216 = 9936453493 is a prime.

It is a super-3 number, since 3×99365190293 (a number of 31 digits) contains 333 as substring.

Together with 9936519031, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9936519049) 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, 4968259514 + 4968259515.

It is an arithmetic number, because the mean of its divisors is an integer number (4968259515).

Almost surely, 29936519029 is an apocalyptic number.

It is an amenable number.

9936519029 is a deficient number, since it is larger than the sum of its proper divisors (1).

9936519029 is an equidigital number, since it uses as much as digits as its factorization.

9936519029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1180980, while the sum is 53.

The square root of 9936519029 is about 99682.0898105572. The cubic root of 9936519029 is about 2149.8661556485.

The spelling of 9936519029 in words is "nine billion, nine hundred thirty-six million, five hundred nineteen thousand, twenty-nine".