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36804412133 is a prime number
BaseRepresentation
bin100010010001101101…
…101100001011100101
310111222221222212001022
4202101231230023211
51100333412142013
624524022140525
72442022225046
oct422155541345
9114887885038
1036804412133
1114677149635
127171881745
133616cca078
141ad20108cd
15e561ab008
hex891b6c2e5

36804412133 has 2 divisors, whose sum is σ = 36804412134. Its totient is φ = 36804412132.

The previous prime is 36804412121. The next prime is 36804412171. The reversal of 36804412133 is 33121440863.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24541728964 + 12262683169 = 156658^2 + 110737^2 .

It is a cyclic number.

It is not a de Polignac number, because 36804412133 - 218 = 36804149989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36804412093 and 36804412102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36804412433) 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, 18402206066 + 18402206067.

It is an arithmetic number, because the mean of its divisors is an integer number (18402206067).

Almost surely, 236804412133 is an apocalyptic number.

It is an amenable number.

36804412133 is a deficient number, since it is larger than the sum of its proper divisors (1).

36804412133 is an equidigital number, since it uses as much as digits as its factorization.

36804412133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 35.

Adding to 36804412133 its reverse (33121440863), we get a palindrome (69925852996).

The spelling of 36804412133 in words is "thirty-six billion, eight hundred four million, four hundred twelve thousand, one hundred thirty-three".