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11540128577 is a prime number
BaseRepresentation
bin10101011111101100…
…00110001101000001
31002210020210021100112
422233312012031001
5142113233103302
65145041001105
7555655321505
oct125766061501
932706707315
1011540128577
11499211344a
1222a0923195
13111babc963
147b6910305
154781d2552
hex2afd86341

11540128577 has 2 divisors, whose sum is σ = 11540128578. Its totient is φ = 11540128576.

The previous prime is 11540128573. The next prime is 11540128619. The reversal of 11540128577 is 77582104511.

11540128577 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., 11087247616 + 452880961 = 105296^2 + 21281^2 .

It is an emirp because it is prime and its reverse (77582104511) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11540128577 - 22 = 11540128573 is a prime.

It is not a weakly prime, because it can be changed into another prime (11540128573) 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, 5770064288 + 5770064289.

It is an arithmetic number, because the mean of its divisors is an integer number (5770064289).

Almost surely, 211540128577 is an apocalyptic number.

It is an amenable number.

11540128577 is a deficient number, since it is larger than the sum of its proper divisors (1).

11540128577 is an equidigital number, since it uses as much as digits as its factorization.

11540128577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78400, while the sum is 41.

The spelling of 11540128577 in words is "eleven billion, five hundred forty million, one hundred twenty-eight thousand, five hundred seventy-seven".