Search a number
-
+
133617617677 is a prime number
BaseRepresentation
bin111110001110000111…
…0110000101100001101
3110202220001010021010201
41330130032300230031
54142122102231202
6141214425133501
712440112003445
oct1743416605415
9422801107121
10133617617677
1151737730905
1221a9032a291
13c7a55128cb
146677b23125
153720755387
hex1f1c3b0b0d

133617617677 has 2 divisors, whose sum is σ = 133617617678. Its totient is φ = 133617617676.

The previous prime is 133617617659. The next prime is 133617617717. The reversal of 133617617677 is 776716716331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83052899721 + 50564717956 = 288189^2 + 224866^2 .

It is a cyclic number.

It is not a de Polignac number, because 133617617677 - 223 = 133609229069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133617612677) 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, 66808808838 + 66808808839.

It is an arithmetic number, because the mean of its divisors is an integer number (66808808839).

Almost surely, 2133617617677 is an apocalyptic number.

It is an amenable number.

133617617677 is a deficient number, since it is larger than the sum of its proper divisors (1).

133617617677 is an equidigital number, since it uses as much as digits as its factorization.

133617617677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4667544, while the sum is 55.

The spelling of 133617617677 in words is "one hundred thirty-three billion, six hundred seventeen million, six hundred seventeen thousand, six hundred seventy-seven".