Search a number
-
+
6849015317 is a prime number
BaseRepresentation
bin1100110000011101…
…11010111000010101
3122200022122000201222
412120032322320111
5103011321442232
63051342100125
7331503445454
oct63016727025
918608560658
106849015317
1129a50aa641
1213b187a645
13851c50ab1
1448d896b9b
152a1442d12
hex1983bae15

6849015317 has 2 divisors, whose sum is σ = 6849015318. Its totient is φ = 6849015316.

The previous prime is 6849015307. The next prime is 6849015319. The reversal of 6849015317 is 7135109486.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6843591076 + 5424241 = 82726^2 + 2329^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-6849015317 is a prime.

It is a super-2 number, since 2×68490153172 = 93818021625001220978, which contains 22 as substring.

Together with 6849015319, 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 (6849015319) 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, 3424507658 + 3424507659.

It is an arithmetic number, because the mean of its divisors is an integer number (3424507659).

Almost surely, 26849015317 is an apocalyptic number.

It is an amenable number.

6849015317 is a deficient number, since it is larger than the sum of its proper divisors (1).

6849015317 is an equidigital number, since it uses as much as digits as its factorization.

6849015317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 6849015317 is about 82758.7778848866. Note that the first 3 decimals coincide. The cubic root of 6849015317 is about 1899.0776055549.

The spelling of 6849015317 in words is "six billion, eight hundred forty-nine million, fifteen thousand, three hundred seventeen".