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26098812225557 is a prime number
BaseRepresentation
bin1011110111100100110100…
…11011101000100000010101
310102102000121002122012120122
411323302122123220200111
511410100331412204212
6131301343454041325
75332401616422251
oct573623233504025
9112360532565518
1026098812225557
11835249811a015
122b1615b4a9245
13117415204c646
14663291441261
15303d53b35272
hex17bc9a6e8815

26098812225557 has 2 divisors, whose sum is σ = 26098812225558. Its totient is φ = 26098812225556.

The previous prime is 26098812225517. The next prime is 26098812225559. The reversal of 26098812225557 is 75552221889062.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25241319557476 + 857492668081 = 5024074^2 + 926009^2 .

It is a cyclic number.

It is not a de Polignac number, because 26098812225557 - 226 = 26098745116693 is a prime.

It is a super-3 number, since 3×260988122255573 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 26098812225559, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 26098812225557.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (26098812225559) 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, 13049406112778 + 13049406112779.

It is an arithmetic number, because the mean of its divisors is an integer number (13049406112779).

Almost surely, 226098812225557 is an apocalyptic number.

It is an amenable number.

26098812225557 is a deficient number, since it is larger than the sum of its proper divisors (1).

26098812225557 is an equidigital number, since it uses as much as digits as its factorization.

26098812225557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384000, while the sum is 62.

The spelling of 26098812225557 in words is "twenty-six trillion, ninety-eight billion, eight hundred twelve million, two hundred twenty-five thousand, five hundred fifty-seven".