Search a number
-
+
10769496461 is a prime number
BaseRepresentation
bin10100000011110100…
…10111100110001101
31000210112201002211022
422001322113212031
5134023442341321
64540351403525
7530610131603
oct120172274615
930715632738
1010769496461
1146271110a9
1221068235a5
131028250119
1474242b873
1543070bdab
hex281e9798d

10769496461 has 2 divisors, whose sum is σ = 10769496462. Its totient is φ = 10769496460.

The previous prime is 10769496449. The next prime is 10769496467. The reversal of 10769496461 is 16469496701.

10769496461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10255612900 + 513883561 = 101270^2 + 22669^2 .

It is a cyclic number.

It is not a de Polignac number, because 10769496461 - 222 = 10765302157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10769496467) 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, 5384748230 + 5384748231.

It is an arithmetic number, because the mean of its divisors is an integer number (5384748231).

Almost surely, 210769496461 is an apocalyptic number.

It is an amenable number.

10769496461 is a deficient number, since it is larger than the sum of its proper divisors (1).

10769496461 is an equidigital number, since it uses as much as digits as its factorization.

10769496461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1959552, while the sum is 53.

The spelling of 10769496461 in words is "ten billion, seven hundred sixty-nine million, four hundred ninety-six thousand, four hundred sixty-one".