Search a number
-
+
10716746317 is a prime number
BaseRepresentation
bin10011111101100010…
…01001001001001101
31000122212110010020021
421332301021021031
5133421441340232
64531225022141
7526366561234
oct117661111115
930585403207
1010716746317
1145aa362142
1220b1024951
13101a341014
14739419b1b
1542ac8c397
hex27ec4924d

10716746317 has 2 divisors, whose sum is σ = 10716746318. Its totient is φ = 10716746316.

The previous prime is 10716746309. The next prime is 10716746329. The reversal of 10716746317 is 71364761701.

10716746317 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., 9914384041 + 802362276 = 99571^2 + 28326^2 .

It is a cyclic number.

It is not a de Polignac number, because 10716746317 - 23 = 10716746309 is a prime.

It is a super-2 number, since 2×107167463172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10716746357) 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, 5358373158 + 5358373159.

It is an arithmetic number, because the mean of its divisors is an integer number (5358373159).

Almost surely, 210716746317 is an apocalyptic number.

It is an amenable number.

10716746317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10716746317 is an equidigital number, since it uses as much as digits as its factorization.

10716746317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 148176, while the sum is 43.

The spelling of 10716746317 in words is "ten billion, seven hundred sixteen million, seven hundred forty-six thousand, three hundred seventeen".