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10679280761 is a prime number
BaseRepresentation
bin10011111001000100…
…01110010001111001
31000120020221200011002
421330202032101321
5133332343441021
64523410014345
7525433250222
oct117442162171
930506850132
1010679280761
1145901a2776
1220a05773b5
131012653c56
14734466249
1542783b50b
hex27c88e479

10679280761 has 2 divisors, whose sum is σ = 10679280762. Its totient is φ = 10679280760.

The previous prime is 10679280727. The next prime is 10679280793. The reversal of 10679280761 is 16708297601.

10679280761 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., 9747810361 + 931470400 = 98731^2 + 30520^2 .

It is an emirp because it is prime and its reverse (16708297601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10679280761 - 26 = 10679280697 is a prime.

It is a super-2 number, since 2×106792807612 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10679283761) 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, 5339640380 + 5339640381.

It is an arithmetic number, because the mean of its divisors is an integer number (5339640381).

Almost surely, 210679280761 is an apocalyptic number.

It is an amenable number.

10679280761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10679280761 is an equidigital number, since it uses as much as digits as its factorization.

10679280761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 47.

The spelling of 10679280761 in words is "ten billion, six hundred seventy-nine million, two hundred eighty thousand, seven hundred sixty-one".