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36363441041 is a prime number
BaseRepresentation
bin100001110111011011…
…100001001110010001
310110212020020012102122
4201313123201032101
51043433020103131
624412150424025
72425056102044
oct416733411621
9113766205378
1036363441041
111447023a514
12706a062015
133576841c25
141a8d622c5b
15e2c602d7b
hex8776e1391

36363441041 has 2 divisors, whose sum is σ = 36363441042. Its totient is φ = 36363441040.

The previous prime is 36363441029. The next prime is 36363441043. The reversal of 36363441041 is 14014436363.

36363441041 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., 29785582225 + 6577858816 = 172585^2 + 81104^2 .

It is an emirp because it is prime and its reverse (14014436363) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36363441041 - 26 = 36363440977 is a prime.

Together with 36363441043, 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 = 36363440992 and 36363441010.

It is not a weakly prime, because it can be changed into another prime (36363441043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18181720520 + 18181720521.

It is an arithmetic number, because the mean of its divisors is an integer number (18181720521).

Almost surely, 236363441041 is an apocalyptic number.

It is an amenable number.

36363441041 is a deficient number, since it is larger than the sum of its proper divisors (1).

36363441041 is an equidigital number, since it uses as much as digits as its factorization.

36363441041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 36363441041 in words is "thirty-six billion, three hundred sixty-three million, four hundred forty-one thousand, forty-one".