Search a number
-
+
906979500701 is a prime number
BaseRepresentation
bin11010011001011000011…
…00001110001010011101
310012201001221221110021022
431030230030032022131
5104324443223010301
61532354410213525
7122345540361041
oct15145414161235
93181057843238
10906979500701
1131a714312a9a
121279417242a5
13676b2765591
1431c80328021
15188d5146d1b
hexd32c30e29d

906979500701 has 2 divisors, whose sum is σ = 906979500702. Its totient is φ = 906979500700.

The previous prime is 906979500683. The next prime is 906979500703. The reversal of 906979500701 is 107005979609.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 675667560100 + 231311940601 = 821990^2 + 480949^2 .

It is a cyclic number.

It is not a de Polignac number, because 906979500701 - 210 = 906979499677 is a prime.

It is a super-2 number, since 2×9069795007012 (a number of 25 digits) contains 22 as substring.

Together with 906979500703, 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 (906979500703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 453489750350 + 453489750351.

It is an arithmetic number, because the mean of its divisors is an integer number (453489750351).

Almost surely, 2906979500701 is an apocalyptic number.

It is an amenable number.

906979500701 is a deficient number, since it is larger than the sum of its proper divisors (1).

906979500701 is an equidigital number, since it uses as much as digits as its factorization.

906979500701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1071630, while the sum is 53.

The spelling of 906979500701 in words is "nine hundred six billion, nine hundred seventy-nine million, five hundred thousand, seven hundred one".