Search a number
-
+
9936187097 is a prime number
BaseRepresentation
bin10010100000011111…
…00010111011011001
3221122110200121021112
421100033202323121
5130322130441342
64321542550105
7501141124334
oct112017427331
927573617245
109936187097
11423979a481
121b13738335
13c24706b65
146a38b161b
153d24a5682
hex2503e2ed9

9936187097 has 2 divisors, whose sum is σ = 9936187098. Its totient is φ = 9936187096.

The previous prime is 9936187091. The next prime is 9936187099. The reversal of 9936187097 is 7907816399.

9936187097 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., 9219072256 + 717114841 = 96016^2 + 26779^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9936187097 is a prime.

Together with 9936187099, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (9936187091) 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, 4968093548 + 4968093549.

It is an arithmetic number, because the mean of its divisors is an integer number (4968093549).

Almost surely, 29936187097 is an apocalyptic number.

It is an amenable number.

9936187097 is a deficient number, since it is larger than the sum of its proper divisors (1).

9936187097 is an equidigital number, since it uses as much as digits as its factorization.

9936187097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5143824, while the sum is 59.

The square root of 9936187097 is about 99680.4248435971. The cubic root of 9936187097 is about 2149.8422164361.

The spelling of 9936187097 in words is "nine billion, nine hundred thirty-six million, one hundred eighty-seven thousand, ninety-seven".