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10829573149 is a prime number
BaseRepresentation
bin10100001010111111…
…00010110000011101
31000221201202022112211
422011133202300131
5134134332320044
64550335200421
7532236565363
oct120537426035
930851668484
1010829573149
11465801465a
122122976111
131037825c65
1474a3c9633
15435b27634
hex2857e2c1d

10829573149 has 2 divisors, whose sum is σ = 10829573150. Its totient is φ = 10829573148.

The previous prime is 10829573099. The next prime is 10829573219. The reversal of 10829573149 is 94137592801.

It is a happy number.

10829573149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9361917049 + 1467656100 = 96757^2 + 38310^2 .

It is a cyclic number.

It is not a de Polignac number, because 10829573149 - 217 = 10829442077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10829570149) 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, 5414786574 + 5414786575.

It is an arithmetic number, because the mean of its divisors is an integer number (5414786575).

Almost surely, 210829573149 is an apocalyptic number.

It is an amenable number.

10829573149 is a deficient number, since it is larger than the sum of its proper divisors (1).

10829573149 is an equidigital number, since it uses as much as digits as its factorization.

10829573149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 49.

The spelling of 10829573149 in words is "ten billion, eight hundred twenty-nine million, five hundred seventy-three thousand, one hundred forty-nine".