Search a number
-
+
6407660397629 is a prime number
BaseRepresentation
bin101110100111110011001…
…0100100110010000111101
3211200120021212111102220202
41131033212110212100331
51314440342030211004
621343345532053245
71230636540502031
oct135174624462075
924616255442822
106407660397629
112050523279987
12875a20604225
13376316a588aa
141821bd4d81c1
15b1a28148b1e
hex5d3e652643d

6407660397629 has 2 divisors, whose sum is σ = 6407660397630. Its totient is φ = 6407660397628.

The previous prime is 6407660397571. The next prime is 6407660397643. The reversal of 6407660397629 is 9267930667046.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4180074297529 + 2227586100100 = 2044523^2 + 1492510^2 .

It is a cyclic number.

It is not a de Polignac number, because 6407660397629 - 28 = 6407660397373 is a prime.

It is a super-2 number, since 2×64076603976292 (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6407660397029) 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, 3203830198814 + 3203830198815.

It is an arithmetic number, because the mean of its divisors is an integer number (3203830198815).

Almost surely, 26407660397629 is an apocalyptic number.

It is an amenable number.

6407660397629 is a deficient number, since it is larger than the sum of its proper divisors (1).

6407660397629 is an equidigital number, since it uses as much as digits as its factorization.

6407660397629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 123451776, while the sum is 65.

The spelling of 6407660397629 in words is "six trillion, four hundred seven billion, six hundred sixty million, three hundred ninety-seven thousand, six hundred twenty-nine".