Search a number
-
+
26083085801 is a prime number
BaseRepresentation
bin11000010010101011…
…000100110111101001
32111022202221001012212
4120102223010313221
5411404232221201
615552111014505
71612235366633
oct302253046751
974282831185
1026083085801
1110075249463
12507b20a435
1325c8a444a6
141396161a53
15a29d16abb
hex612ac4de9

26083085801 has 2 divisors, whose sum is σ = 26083085802. Its totient is φ = 26083085800.

The previous prime is 26083085713. The next prime is 26083085843. The reversal of 26083085801 is 10858038062.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26075790400 + 7295401 = 161480^2 + 2701^2 .

It is a cyclic number.

It is not a de Polignac number, because 26083085801 - 210 = 26083084777 is a prime.

It is not a weakly prime, because it can be changed into another prime (26083085851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13041542900 + 13041542901.

It is an arithmetic number, because the mean of its divisors is an integer number (13041542901).

Almost surely, 226083085801 is an apocalyptic number.

It is an amenable number.

26083085801 is a deficient number, since it is larger than the sum of its proper divisors (1).

26083085801 is an equidigital number, since it uses as much as digits as its factorization.

26083085801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 26083085801 in words is "twenty-six billion, eighty-three million, eighty-five thousand, eight hundred one".