Search a number
-
+
9667590113 is a prime number
BaseRepresentation
bin10010000000011101…
…11011011111100001
3220221202021110111002
421000032323133201
5124244400340423
64235150001345
7461400105626
oct110016733741
926852243432
109667590113
1141111145a5
121a597a6255
13bb0b8282c
14679d5434d
153b8aeb228
hex2403bb7e1

9667590113 has 2 divisors, whose sum is σ = 9667590114. Its totient is φ = 9667590112.

The previous prime is 9667590109. The next prime is 9667590187. The reversal of 9667590113 is 3110957669.

It is a happy number.

9667590113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5203746769 + 4463843344 = 72137^2 + 66812^2 .

It is a cyclic number.

It is not a de Polignac number, because 9667590113 - 22 = 9667590109 is a prime.

It is not a weakly prime, because it can be changed into another prime (9667599113) 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, 4833795056 + 4833795057.

It is an arithmetic number, because the mean of its divisors is an integer number (4833795057).

Almost surely, 29667590113 is an apocalyptic number.

It is an amenable number.

9667590113 is a deficient number, since it is larger than the sum of its proper divisors (1).

9667590113 is an equidigital number, since it uses as much as digits as its factorization.

9667590113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 306180, while the sum is 47.

The square root of 9667590113 is about 98323.9040772894. The cubic root of 9667590113 is about 2130.2933400285.

The spelling of 9667590113 in words is "nine billion, six hundred sixty-seven million, five hundred ninety thousand, one hundred thirteen".