Search a number
-
+
7811882673697 is a prime number
BaseRepresentation
bin111000110101101100001…
…1111011110011000100001
31000122210211112110002021201
41301223120133132120201
52010442213431024242
624340421312521201
71434250510061614
oct161533037363041
930583745402251
107811882673697
112542001128723
12a61bb3850201
1344887133a86b
141d015079817b
15d8311cd84b7
hex71ad87de621

7811882673697 has 2 divisors, whose sum is σ = 7811882673698. Its totient is φ = 7811882673696.

The previous prime is 7811882673653. The next prime is 7811882673737. The reversal of 7811882673697 is 7963762881187.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6449547843216 + 1362334830481 = 2539596^2 + 1167191^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-7811882673697 is a prime.

It is a super-2 number, since 2×78118826736972 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7811882373697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3905941336848 + 3905941336849.

It is an arithmetic number, because the mean of its divisors is an integer number (3905941336849).

Almost surely, 27811882673697 is an apocalyptic number.

It is an amenable number.

7811882673697 is a deficient number, since it is larger than the sum of its proper divisors (1).

7811882673697 is an equidigital number, since it uses as much as digits as its factorization.

7811882673697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 341397504, while the sum is 73.

The spelling of 7811882673697 in words is "seven trillion, eight hundred eleven billion, eight hundred eighty-two million, six hundred seventy-three thousand, six hundred ninety-seven".