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10829682649 is a prime number
BaseRepresentation
bin10100001010111111…
…11101011111011001
31000221201221212202101
422011133331133121
5134134344321044
64550341403401
7532240532542
oct120537753731
930851855671
1010829682649
114658089955
122122a09561
131037863a56
1474a4174c9
15435b49cd4
hex2857fd7d9

10829682649 has 2 divisors, whose sum is σ = 10829682650. Its totient is φ = 10829682648.

The previous prime is 10829682527. The next prime is 10829682653. The reversal of 10829682649 is 94628692801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10585323225 + 244359424 = 102885^2 + 15632^2 .

It is an emirp because it is prime and its reverse (94628692801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10829682649 - 211 = 10829680601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10829682649.

It is not a weakly prime, because it can be changed into another prime (10829682679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5414841324 + 5414841325.

It is an arithmetic number, because the mean of its divisors is an integer number (5414841325).

Almost surely, 210829682649 is an apocalyptic number.

It is an amenable number.

10829682649 is a deficient number, since it is larger than the sum of its proper divisors (1).

10829682649 is an equidigital number, since it uses as much as digits as its factorization.

10829682649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 10829682649 in words is "ten billion, eight hundred twenty-nine million, six hundred eighty-two thousand, six hundred forty-nine".