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2853107729 is a prime number
BaseRepresentation
bin1010101000001110…
…1111100000010001
321100211121220000122
42222003233200101
521320343421404
61151040000025
7130463005223
oct25203574021
97324556018
102853107729
11123456107a
12677600015
13366133034
141d0cca413
1511a72a3be
hexaa0ef811

2853107729 has 2 divisors, whose sum is σ = 2853107730. Its totient is φ = 2853107728.

The previous prime is 2853107711. The next prime is 2853107731. The reversal of 2853107729 is 9277013582.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2714410000 + 138697729 = 52100^2 + 11777^2 .

It is a cyclic number.

It is not a de Polignac number, because 2853107729 - 228 = 2584672273 is a prime.

Together with 2853107731, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2853107729.

It is not a weakly prime, because it can be changed into another prime (2853107329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1426553864 + 1426553865.

It is an arithmetic number, because the mean of its divisors is an integer number (1426553865).

Almost surely, 22853107729 is an apocalyptic number.

It is an amenable number.

2853107729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2853107729 is an equidigital number, since it uses as much as digits as its factorization.

2853107729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 2853107729 is about 53414.4898786837. The cubic root of 2853107729 is about 1418.3150895938.

The spelling of 2853107729 in words is "two billion, eight hundred fifty-three million, one hundred seven thousand, seven hundred twenty-nine".