Search a number
-
+
2761386317 is a prime number
BaseRepresentation
bin1010010010010111…
…0110100101001101
321010110000221220022
42210211312211031
521123403330232
61134002031525
7125300252654
oct24445664515
97113027808
102761386317
111197804458
126509485a5
1335012a701
141c2a5219b
1511265d812
hexa497694d

2761386317 has 2 divisors, whose sum is σ = 2761386318. Its totient is φ = 2761386316.

The previous prime is 2761386269. The next prime is 2761386319. The reversal of 2761386317 is 7136831672.

2761386317 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., 2041322761 + 720063556 = 45181^2 + 26834^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2761386317 is a prime.

It is a super-4 number, since 4×27613863174 (a number of 39 digits) contains 4444 as substring.

Together with 2761386319, 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 (2761386319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1380693158 + 1380693159.

It is an arithmetic number, because the mean of its divisors is an integer number (1380693159).

Almost surely, 22761386317 is an apocalyptic number.

It is an amenable number.

2761386317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2761386317 is an equidigital number, since it uses as much as digits as its factorization.

2761386317 is an evil number, because the sum of its binary digits is even.

The product of its digits is 254016, while the sum is 44.

The square root of 2761386317 is about 52548.8945364220. The cubic root of 2761386317 is about 1402.9506335222.

The spelling of 2761386317 in words is "two billion, seven hundred sixty-one million, three hundred eighty-six thousand, three hundred seventeen".