Search a number
-
+
2607116246837 is a prime number
BaseRepresentation
bin100101111100000100001…
…111001101111100110101
3100020020102102011200220222
4211330010033031330311
5320203333224344322
65313405341104125
7356233525312304
oct45740417157465
910206372150828
102607116246837
11915743176a13
12361339b58045
1315bb0860930b
1490283cb043b
1547c3c977e42
hex25f043cdf35

2607116246837 has 2 divisors, whose sum is σ = 2607116246838. Its totient is φ = 2607116246836.

The previous prime is 2607116246807. The next prime is 2607116246851. The reversal of 2607116246837 is 7386426117062.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2600007902116 + 7108344721 = 1612454^2 + 84311^2 .

It is a cyclic number.

It is not a de Polignac number, because 2607116246837 - 216 = 2607116181301 is a prime.

It is a super-2 number, since 2×26071162468372 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2607116246807) 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, 1303558123418 + 1303558123419.

It is an arithmetic number, because the mean of its divisors is an integer number (1303558123419).

Almost surely, 22607116246837 is an apocalyptic number.

It is an amenable number.

2607116246837 is a deficient number, since it is larger than the sum of its proper divisors (1).

2607116246837 is an equidigital number, since it uses as much as digits as its factorization.

2607116246837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4064256, while the sum is 53.

The spelling of 2607116246837 in words is "two trillion, six hundred seven billion, one hundred sixteen million, two hundred forty-six thousand, eight hundred thirty-seven".