Search a number
-
+
6937630013 is a prime number
BaseRepresentation
bin1100111011000001…
…11101010100111101
3122220111101010020202
412131200331110331
5103202013130023
63104225253245
7333630611366
oct63540752475
918814333222
106937630013
112a40125126
121417494225
13867409322
1449b562b6d
152a90e9128
hex19d83d53d

6937630013 has 2 divisors, whose sum is σ = 6937630014. Its totient is φ = 6937630012.

The previous prime is 6937629997. The next prime is 6937630043. The reversal of 6937630013 is 3100367396.

It is a happy number.

6937630013 is digitally balanced in base 3, 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., 4433828569 + 2503801444 = 66587^2 + 50038^2 .

It is a cyclic number.

It is not a de Polignac number, because 6937630013 - 24 = 6937629997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6937630043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3468815006 + 3468815007.

It is an arithmetic number, because the mean of its divisors is an integer number (3468815007).

Almost surely, 26937630013 is an apocalyptic number.

It is an amenable number.

6937630013 is a deficient number, since it is larger than the sum of its proper divisors (1).

6937630013 is an equidigital number, since it uses as much as digits as its factorization.

6937630013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61236, while the sum is 38.

The square root of 6937630013 is about 83292.4367094636. The cubic root of 6937630013 is about 1907.2328205516.

The spelling of 6937630013 in words is "six billion, nine hundred thirty-seven million, six hundred thirty thousand, thirteen".