Search a number
-
+
61417648769 is a prime number
BaseRepresentation
bin111001001100110001…
…101111001010000001
312212112022010211021012
4321030301233022001
52001240404230034
644114225210305
74302662254331
oct711461571201
9185468124235
1061417648769
1124057730614
12baa0790995
135a3a377b09
142d88c7b0c1
1518e6e31cce
hexe4cc6f281

61417648769 has 2 divisors, whose sum is σ = 61417648770. Its totient is φ = 61417648768.

The previous prime is 61417648757. The next prime is 61417648777. The reversal of 61417648769 is 96784671416.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61299817744 + 117831025 = 247588^2 + 10855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61417648769 is a prime.

It is a super-2 number, since 2×614176487692 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61417248769) 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, 30708824384 + 30708824385.

It is an arithmetic number, because the mean of its divisors is an integer number (30708824385).

Almost surely, 261417648769 is an apocalyptic number.

It is an amenable number.

61417648769 is a deficient number, since it is larger than the sum of its proper divisors (1).

61417648769 is an equidigital number, since it uses as much as digits as its factorization.

61417648769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12192768, while the sum is 59.

The spelling of 61417648769 in words is "sixty-one billion, four hundred seventeen million, six hundred forty-eight thousand, seven hundred sixty-nine".