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10829682841 is a prime number
BaseRepresentation
bin10100001010111111…
…11101100010011001
31000221201221220000111
422011133331202121
5134134344322331
64550341404321
7532240533235
oct120537754231
930851856014
1010829682841
11465808a00a
122122a096a1
131037863b73
1474a4175c5
15435b49db1
hex2857fd899

10829682841 has 2 divisors, whose sum is σ = 10829682842. Its totient is φ = 10829682840.

The previous prime is 10829682791. The next prime is 10829682869. The reversal of 10829682841 is 14828692801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8318169616 + 2511513225 = 91204^2 + 50115^2 .

It is a cyclic number.

It is not a de Polignac number, because 10829682841 - 213 = 10829674649 is a prime.

It is not a weakly prime, because it can be changed into another prime (10829683841) by changing a digit.

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, 5414841420 + 5414841421.

It is an arithmetic number, because the mean of its divisors is an integer number (5414841421).

Almost surely, 210829682841 is an apocalyptic number.

It is an amenable number.

10829682841 is a deficient number, since it is larger than the sum of its proper divisors (1).

10829682841 is an equidigital number, since it uses as much as digits as its factorization.

10829682841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 442368, while the sum is 49.

The spelling of 10829682841 in words is "ten billion, eight hundred twenty-nine million, six hundred eighty-two thousand, eight hundred forty-one".