Search a number
-
+
14971646857 is a prime number
BaseRepresentation
bin11011111000110000…
…10011001110001001
31102122101210110111011
431330120103032021
5221130220144412
610513342203521
71040003620126
oct157430231611
942571713434
1014971646857
116393116972
122a99b835a1
1315479cc84b
14a2056374d
155c95b37a7
hex37c613389

14971646857 has 2 divisors, whose sum is σ = 14971646858. Its totient is φ = 14971646856.

The previous prime is 14971646783. The next prime is 14971646891. The reversal of 14971646857 is 75864617941.

14971646857 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., 14845960336 + 125686521 = 121844^2 + 11211^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14971646857 is a prime.

It is a super-2 number, since 2×149716468572 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (14971646897) 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, 7485823428 + 7485823429.

It is an arithmetic number, because the mean of its divisors is an integer number (7485823429).

Almost surely, 214971646857 is an apocalyptic number.

It is an amenable number.

14971646857 is a deficient number, since it is larger than the sum of its proper divisors (1).

14971646857 is an equidigital number, since it uses as much as digits as its factorization.

14971646857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10160640, while the sum is 58.

The spelling of 14971646857 in words is "fourteen billion, nine hundred seventy-one million, six hundred forty-six thousand, eight hundred fifty-seven".