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9832824149 is a prime number
BaseRepresentation
bin10010010100001010…
…01111110101010101
3221101021012012222012
421022011033311111
5130114200333044
64303411314005
7465444424541
oct111205176525
927337165865
109832824149
114196411355
121aa4bab905
13c09186755
14693c86a21
153c838959e
hex24a14fd55

9832824149 has 2 divisors, whose sum is σ = 9832824150. Its totient is φ = 9832824148.

The previous prime is 9832824119. The next prime is 9832824193. The reversal of 9832824149 is 9414282389.

9832824149 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., 7044244900 + 2788579249 = 83930^2 + 52807^2 .

It is a cyclic number.

It is not a de Polignac number, because 9832824149 - 216 = 9832758613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9832824097 and 9832824106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9832824109) 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, 4916412074 + 4916412075.

It is an arithmetic number, because the mean of its divisors is an integer number (4916412075).

Almost surely, 29832824149 is an apocalyptic number.

It is an amenable number.

9832824149 is a deficient number, since it is larger than the sum of its proper divisors (1).

9832824149 is an equidigital number, since it uses as much as digits as its factorization.

9832824149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 995328, while the sum is 50.

The square root of 9832824149 is about 99160.5977644346. The cubic root of 9832824149 is about 2142.3615114263.

The spelling of 9832824149 in words is "nine billion, eight hundred thirty-two million, eight hundred twenty-four thousand, one hundred forty-nine".