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11728337717 is a prime number
BaseRepresentation
bin10101110110001000…
…00011101100110101
31010021100221021202102
422323010003230311
5143004423301332
65215442551445
7563432140265
oct127304035465
933240837672
1011728337717
114a79382798
122333968585
13114baa9205
147d39037a5
154899ad062
hex2bb103b35

11728337717 has 2 divisors, whose sum is σ = 11728337718. Its totient is φ = 11728337716.

The previous prime is 11728337683. The next prime is 11728337741. The reversal of 11728337717 is 71773382711.

11728337717 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11586584881 + 141752836 = 107641^2 + 11906^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11728337717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11728337017) 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, 5864168858 + 5864168859.

It is an arithmetic number, because the mean of its divisors is an integer number (5864168859).

Almost surely, 211728337717 is an apocalyptic number.

It is an amenable number.

11728337717 is a deficient number, since it is larger than the sum of its proper divisors (1).

11728337717 is an equidigital number, since it uses as much as digits as its factorization.

11728337717 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 345744, while the sum is 47.

The spelling of 11728337717 in words is "eleven billion, seven hundred twenty-eight million, three hundred thirty-seven thousand, seven hundred seventeen".