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36728521133 is a prime number
BaseRepresentation
bin100010001101001100…
…001100000110101101
310111210200012012011112
4202031030030012231
51100210000134013
624512311401405
72440111164353
oct421514140655
9114720165145
1036728521133
11146383245a7
127150383265
133604378055
141ac5cd77d3
15e4e6b9ba8
hex88d30c1ad

36728521133 has 2 divisors, whose sum is σ = 36728521134. Its totient is φ = 36728521132.

The previous prime is 36728521117. The next prime is 36728521147. The reversal of 36728521133 is 33112582763.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36654251209 + 74269924 = 191453^2 + 8618^2 .

It is a cyclic number.

It is not a de Polignac number, because 36728521133 - 24 = 36728521117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36728521163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18364260566 + 18364260567.

It is an arithmetic number, because the mean of its divisors is an integer number (18364260567).

Almost surely, 236728521133 is an apocalyptic number.

It is an amenable number.

36728521133 is a deficient number, since it is larger than the sum of its proper divisors (1).

36728521133 is an equidigital number, since it uses as much as digits as its factorization.

36728521133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 181440, while the sum is 41.

The spelling of 36728521133 in words is "thirty-six billion, seven hundred twenty-eight million, five hundred twenty-one thousand, one hundred thirty-three".