Search a number
-
+
813928627769 is a prime number
BaseRepresentation
bin10111101100000011110…
…11010011111000111001
32212210220002022100021012
423312001323103320321
5101313411212042034
61421525203123305
7112542624120155
oct13660173237071
92783802270235
10813928627769
11294204544a14
121118b3073535
135b9a385925a
142b574180065
151628b027cce
hexbd81ed3e39

813928627769 has 2 divisors, whose sum is σ = 813928627770. Its totient is φ = 813928627768.

The previous prime is 813928627727. The next prime is 813928627781. The reversal of 813928627769 is 967726829318.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 503248360000 + 310680267769 = 709400^2 + 557387^2 .

It is a cyclic number.

It is not a de Polignac number, because 813928627769 - 216 = 813928562233 is a prime.

It is a super-2 number, since 2×8139286277692 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813928627699 and 813928627708.

It is not a weakly prime, because it can be changed into another prime (813928627069) 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, 406964313884 + 406964313885.

It is an arithmetic number, because the mean of its divisors is an integer number (406964313885).

Almost surely, 2813928627769 is an apocalyptic number.

It is an amenable number.

813928627769 is a deficient number, since it is larger than the sum of its proper divisors (1).

813928627769 is an equidigital number, since it uses as much as digits as its factorization.

813928627769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 109734912, while the sum is 68.

The spelling of 813928627769 in words is "eight hundred thirteen billion, nine hundred twenty-eight million, six hundred twenty-seven thousand, seven hundred sixty-nine".