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11982827729 is a prime number
BaseRepresentation
bin10110010100011101…
…10111000011010001
31010221002210201102102
423022032313003101
5144020100441404
65301013330145
7602642232545
oct131216670321
933832721372
1011982827729
115099aa2914
1223a5036955
13118c731512
1481962ba25
154a1ecc71e
hex2ca3b70d1

11982827729 has 2 divisors, whose sum is σ = 11982827730. Its totient is φ = 11982827728.

The previous prime is 11982827713. The next prime is 11982827737. The reversal of 11982827729 is 92772828911.

11982827729 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., 6311984704 + 5670843025 = 79448^2 + 75305^2 .

It is a cyclic number.

It is not a de Polignac number, because 11982827729 - 24 = 11982827713 is a prime.

It is not a weakly prime, because it can be changed into another prime (11982827029) 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, 5991413864 + 5991413865.

It is an arithmetic number, because the mean of its divisors is an integer number (5991413865).

Almost surely, 211982827729 is an apocalyptic number.

It is an amenable number.

11982827729 is a deficient number, since it is larger than the sum of its proper divisors (1).

11982827729 is an equidigital number, since it uses as much as digits as its factorization.

11982827729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2032128, while the sum is 56.

The spelling of 11982827729 in words is "eleven billion, nine hundred eighty-two million, eight hundred twenty-seven thousand, seven hundred twenty-nine".