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949270806017 is a prime number
BaseRepresentation
bin11011101000001001111…
…00101111111000000001
310100202020022111100202122
431310010330233320001
5111023101311243032
62004031115454025
7125403546501212
oct15640474577001
93322208440678
10949270806017
11336646693696
12133b84a57315
136b6924375b1
1433d32d3d409
1519a5cd84012
hexdd04f2fe01

949270806017 has 2 divisors, whose sum is σ = 949270806018. Its totient is φ = 949270806016.

The previous prime is 949270806007. The next prime is 949270806019. The reversal of 949270806017 is 710608072949.

949270806017 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., 920210444176 + 29060361841 = 959276^2 + 170471^2 .

It is a cyclic number.

It is not a de Polignac number, because 949270806017 - 26 = 949270805953 is a prime.

It is a super-2 number, since 2×9492708060172 (a number of 25 digits) contains 22 as substring.

Together with 949270806019, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 949270806017.

It is not a weakly prime, because it can be changed into another prime (949270806019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 474635403008 + 474635403009.

It is an arithmetic number, because the mean of its divisors is an integer number (474635403009).

Almost surely, 2949270806017 is an apocalyptic number.

It is an amenable number.

949270806017 is a deficient number, since it is larger than the sum of its proper divisors (1).

949270806017 is an equidigital number, since it uses as much as digits as its factorization.

949270806017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1524096, while the sum is 53.

The spelling of 949270806017 in words is "nine hundred forty-nine billion, two hundred seventy million, eight hundred six thousand, seventeen".