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36363511441 is a prime number
BaseRepresentation
bin100001110111011011…
…110010011010010001
310110212020100210000001
4201313123302122101
51043433024331231
624412152130001
72425056514225
oct416733623221
9113766323001
1036363511441
11144702883a4
12706a096901
133576867c9a
141a8d640785
15e2c618b61
hex8776f2691

36363511441 has 2 divisors, whose sum is σ = 36363511442. Its totient is φ = 36363511440.

The previous prime is 36363511439. The next prime is 36363511447. The reversal of 36363511441 is 14411536363.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35419240000 + 944271441 = 188200^2 + 30729^2 .

It is a cyclic number.

It is not a de Polignac number, because 36363511441 - 21 = 36363511439 is a prime.

Together with 36363511439, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 36363511441.

It is not a weakly prime, because it can be changed into another prime (36363511447) 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, 18181755720 + 18181755721.

It is an arithmetic number, because the mean of its divisors is an integer number (18181755721).

Almost surely, 236363511441 is an apocalyptic number.

It is an amenable number.

36363511441 is a deficient number, since it is larger than the sum of its proper divisors (1).

36363511441 is an equidigital number, since it uses as much as digits as its factorization.

36363511441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 77760, while the sum is 37.

The spelling of 36363511441 in words is "thirty-six billion, three hundred sixty-three million, five hundred eleven thousand, four hundred forty-one".