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11789506241 is a prime number
BaseRepresentation
bin10101111101011010…
…11001011011000001
31010102122000222012022
422332231121123001
5143121103144431
65225510011225
7565104102212
oct127655313301
933378028168
1011789506241
114aaa961597
122350346b15
13115b674cc6
147dbaa7409
1549004207b
hex2beb596c1

11789506241 has 2 divisors, whose sum is σ = 11789506242. Its totient is φ = 11789506240.

The previous prime is 11789506229. The next prime is 11789506249. The reversal of 11789506241 is 14260598711.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11747308225 + 42198016 = 108385^2 + 6496^2 .

It is an emirp because it is prime and its reverse (14260598711) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11789506241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11789506192 and 11789506201.

It is not a weakly prime, because it can be changed into another prime (11789506249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5894753120 + 5894753121.

It is an arithmetic number, because the mean of its divisors is an integer number (5894753121).

Almost surely, 211789506241 is an apocalyptic number.

It is an amenable number.

11789506241 is a deficient number, since it is larger than the sum of its proper divisors (1).

11789506241 is an equidigital number, since it uses as much as digits as its factorization.

11789506241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 44.

The spelling of 11789506241 in words is "eleven billion, seven hundred eighty-nine million, five hundred six thousand, two hundred forty-one".