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36005668813 is a prime number
BaseRepresentation
bin100001100010000110…
…101110011111001101
310102221022000111012101
4201202012232133031
51042214422400223
624312450235101
72413153064242
oct414206563715
9112838014171
1036005668813
11142a7296994
126b8a285a91
13351a69719a
141a57cd15c9
15e0aed14ad
hex8621ae7cd

36005668813 has 2 divisors, whose sum is σ = 36005668814. Its totient is φ = 36005668812.

The previous prime is 36005668801. The next prime is 36005668817. The reversal of 36005668813 is 31886650063.

It is a happy number.

36005668813 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., 31470050404 + 4535618409 = 177398^2 + 67347^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36005668813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36005668817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18002834406 + 18002834407.

It is an arithmetic number, because the mean of its divisors is an integer number (18002834407).

Almost surely, 236005668813 is an apocalyptic number.

It is an amenable number.

36005668813 is a deficient number, since it is larger than the sum of its proper divisors (1).

36005668813 is an equidigital number, since it uses as much as digits as its factorization.

36005668813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 36005668813 in words is "thirty-six billion, five million, six hundred sixty-eight thousand, eight hundred thirteen".