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26116116137 is a prime number
BaseRepresentation
bin11000010100101001…
…000100111010101001
32111102002002011022122
4120110221010322221
5411441211204022
615555251001025
71613116216166
oct302451047251
974362064278
1026116116137
1110091959661
12508a299175
13260283a877
14139a6bd06d
15a2cb8d742
hex614a44ea9

26116116137 has 2 divisors, whose sum is σ = 26116116138. Its totient is φ = 26116116136.

The previous prime is 26116116119. The next prime is 26116116139. The reversal of 26116116137 is 73161161162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20076339481 + 6039776656 = 141691^2 + 77716^2 .

It is a cyclic number.

It is not a de Polignac number, because 26116116137 - 222 = 26111921833 is a prime.

Together with 26116116139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 26116116097 and 26116116106.

It is not a weakly prime, because it can be changed into another prime (26116116139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13058058068 + 13058058069.

It is an arithmetic number, because the mean of its divisors is an integer number (13058058069).

Almost surely, 226116116137 is an apocalyptic number.

It is an amenable number.

26116116137 is a deficient number, since it is larger than the sum of its proper divisors (1).

26116116137 is an equidigital number, since it uses as much as digits as its factorization.

26116116137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 35.

Adding to 26116116137 its reverse (73161161162), we get a palindrome (99277277299).

The spelling of 26116116137 in words is "twenty-six billion, one hundred sixteen million, one hundred sixteen thousand, one hundred thirty-seven".