Search a number
-
+
61789000177 is a prime number
BaseRepresentation
bin111001100010111010…
…010101000111110001
312220111011220102122001
4321202322111013301
52003020441001202
644215132414001
74315121556442
oct714272250761
9186434812561
1061789000177
1124228309403
12bb85017301
135a99298588
142dc23052c9
151919836d87
hexe62e951f1

61789000177 has 2 divisors, whose sum is σ = 61789000178. Its totient is φ = 61789000176.

The previous prime is 61789000153. The next prime is 61789000183. The reversal of 61789000177 is 77100098716.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61702063201 + 86936976 = 248399^2 + 9324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61789000177 is a prime.

It is a weakly prime.

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, 30894500088 + 30894500089.

It is an arithmetic number, because the mean of its divisors is an integer number (30894500089).

Almost surely, 261789000177 is an apocalyptic number.

It is an amenable number.

61789000177 is a deficient number, since it is larger than the sum of its proper divisors (1).

61789000177 is an equidigital number, since it uses as much as digits as its factorization.

61789000177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 148176, while the sum is 46.

The spelling of 61789000177 in words is "sixty-one billion, seven hundred eighty-nine million, one hundred seventy-seven", and thus it is an aban number.