Search a number
-
+
26586389759 is a prime number
BaseRepresentation
bin11000110000101011…
…000001110011111111
32112121211222112110012
4120300223001303333
5413422103433014
620114050333435
71630556404256
oct306053016377
975554875405
1026586389759
1110303362146
12519b88a27b
1326790b5397
141402d3779d
15a590d3c3e
hex630ac1cff

26586389759 has 2 divisors, whose sum is σ = 26586389760. Its totient is φ = 26586389758.

The previous prime is 26586389723. The next prime is 26586389761. The reversal of 26586389759 is 95798368562.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-26586389759 is a prime.

It is a super-2 number, since 2×265863897592 (a number of 22 digits) contains 22 as substring.

Together with 26586389761, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (26586389779) 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, 13293194879 + 13293194880.

It is an arithmetic number, because the mean of its divisors is an integer number (13293194880).

Almost surely, 226586389759 is an apocalyptic number.

26586389759 is a deficient number, since it is larger than the sum of its proper divisors (1).

26586389759 is an equidigital number, since it uses as much as digits as its factorization.

26586389759 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 195955200, while the sum is 68.

The spelling of 26586389759 in words is "twenty-six billion, five hundred eighty-six million, three hundred eighty-nine thousand, seven hundred fifty-nine".