Search a number
-
+
266056406302153 is a prime number
BaseRepresentation
bin111100011111101000010101…
…100101100111110111001001
31021220000202002101222011111211
4330133220111211213313021
5234333032010003132103
62341504343053453121
7110016640525526065
oct7437502545476711
91256022071864454
10266056406302153
1177856985310545
1225a0b6201a11a1
13b55c01c2428bc
14499b2ad610aa5
1520b5b0eab336d
hexf1fa15967dc9

266056406302153 has 2 divisors, whose sum is σ = 266056406302154. Its totient is φ = 266056406302152.

The previous prime is 266056406302139. The next prime is 266056406302217. The reversal of 266056406302153 is 351203604650662.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163498494942409 + 102557911359744 = 12786653^2 + 10127088^2 .

It is a cyclic number.

It is not a de Polignac number, because 266056406302153 - 229 = 266055869431241 is a prime.

It is a super-6 number, since 6×2660564063021536 (a number of 88 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 266056406302097 and 266056406302106.

It is not a weakly prime, because it can be changed into another prime (266056406302133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 133028203151076 + 133028203151077.

It is an arithmetic number, because the mean of its divisors is an integer number (133028203151077).

Almost surely, 2266056406302153 is an apocalyptic number.

It is an amenable number.

266056406302153 is a deficient number, since it is larger than the sum of its proper divisors (1).

266056406302153 is an equidigital number, since it uses as much as digits as its factorization.

266056406302153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4665600, while the sum is 49.

The spelling of 266056406302153 in words is "two hundred sixty-six trillion, fifty-six billion, four hundred six million, three hundred two thousand, one hundred fifty-three".