Search a number
-
+
680338338353 is a prime number
BaseRepresentation
bin10011110011001110101…
…00110011001000110001
32102001001221121111110022
421321213110303020301
542121313103311403
61240313151413225
7100103263313552
oct11714724631061
92361057544408
10680338338353
1124259128a253
12aba2bb24215
134c203bc451b
1424cddd32329
1512a6cdbed38
hex9e67533231

680338338353 has 2 divisors, whose sum is σ = 680338338354. Its totient is φ = 680338338352.

The previous prime is 680338338331. The next prime is 680338338397. The reversal of 680338338353 is 353833833086.

680338338353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 507774531889 + 172563806464 = 712583^2 + 415408^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-680338338353 is a prime.

It is a super-2 number, since 2×6803383383532 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 680338338295 and 680338338304.

It is not a weakly prime, because it can be changed into another prime (680638338353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 340169169176 + 340169169177.

It is an arithmetic number, because the mean of its divisors is an integer number (340169169177).

Almost surely, 2680338338353 is an apocalyptic number.

It is an amenable number.

680338338353 is a deficient number, since it is larger than the sum of its proper divisors (1).

680338338353 is an equidigital number, since it uses as much as digits as its factorization.

680338338353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11197440, while the sum is 53.

The spelling of 680338338353 in words is "six hundred eighty billion, three hundred thirty-eight million, three hundred thirty-eight thousand, three hundred fifty-three".