Search a number
-
+
61247177249 is a prime number
BaseRepresentation
bin111001000010100111…
…011100001000100001
312212002102100222022012
4321002213130020201
52000413234132444
644045255322305
74265522262656
oct710247341041
9185072328265
1061247177249
1123a7a486865
12ba53680395
135a10c5bcab
142d70383c2d
1518d6eabb9e
hexe429dc221

61247177249 has 2 divisors, whose sum is σ = 61247177250. Its totient is φ = 61247177248.

The previous prime is 61247177209. The next prime is 61247177287. The reversal of 61247177249 is 94277174216.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33672250000 + 27574927249 = 183500^2 + 166057^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61247177249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61247177197 and 61247177206.

It is not a weakly prime, because it can be changed into another prime (61247177209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30623588624 + 30623588625.

It is an arithmetic number, because the mean of its divisors is an integer number (30623588625).

Almost surely, 261247177249 is an apocalyptic number.

It is an amenable number.

61247177249 is a deficient number, since it is larger than the sum of its proper divisors (1).

61247177249 is an equidigital number, since it uses as much as digits as its factorization.

61247177249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1185408, while the sum is 50.

The spelling of 61247177249 in words is "sixty-one billion, two hundred forty-seven million, one hundred seventy-seven thousand, two hundred forty-nine".