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10763847673 is a prime number
BaseRepresentation
bin10100000011001001…
…10100011111111001
31000210011002010010221
422001210310133321
5134021021111143
64540030340041
7530511124045
oct120144643771
930704063127
1010763847673
114623a03087
12210495a621
131027022c47
1474179b025
1542ee932ed
hex2819347f9

10763847673 has 2 divisors, whose sum is σ = 10763847674. Its totient is φ = 10763847672.

The previous prime is 10763847631. The next prime is 10763847691. The reversal of 10763847673 is 37674836701.

10763847673 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., 10578533904 + 185313769 = 102852^2 + 13613^2 .

It is a cyclic number.

It is not a de Polignac number, because 10763847673 - 213 = 10763839481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10763847673.

It is not a weakly prime, because it can be changed into another prime (10763857673) 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, 5381923836 + 5381923837.

It is an arithmetic number, because the mean of its divisors is an integer number (5381923837).

Almost surely, 210763847673 is an apocalyptic number.

It is an amenable number.

10763847673 is a deficient number, since it is larger than the sum of its proper divisors (1).

10763847673 is an equidigital number, since it uses as much as digits as its factorization.

10763847673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 10763847673 in words is "ten billion, seven hundred sixty-three million, eight hundred forty-seven thousand, six hundred seventy-three".