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11583833057 is a prime number
BaseRepresentation
bin10101100100111001…
…10100001111100001
31002220022000200121222
422302130310033201
5142210430124212
65153241424425
7560025646016
oct126234641741
932808020558
1011583833057
114a04854255
1222b349b115
131127b826b4
147bc64970d
1547be66c72
hex2b27343e1

11583833057 has 2 divisors, whose sum is σ = 11583833058. Its totient is φ = 11583833056.

The previous prime is 11583833017. The next prime is 11583833059. The reversal of 11583833057 is 75033838511.

11583833057 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., 10817872081 + 765960976 = 104009^2 + 27676^2 .

It is a cyclic number.

It is not a de Polignac number, because 11583833057 - 222 = 11579638753 is a prime.

Together with 11583833059, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 11583832999 and 11583833017.

It is not a weakly prime, because it can be changed into another prime (11583833059) 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, 5791916528 + 5791916529.

It is an arithmetic number, because the mean of its divisors is an integer number (5791916529).

Almost surely, 211583833057 is an apocalyptic number.

It is an amenable number.

11583833057 is a deficient number, since it is larger than the sum of its proper divisors (1).

11583833057 is an equidigital number, since it uses as much as digits as its factorization.

11583833057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 11583833057 in words is "eleven billion, five hundred eighty-three million, eight hundred thirty-three thousand, fifty-seven".