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36364044329 is a prime number
BaseRepresentation
bin100001110111011101…
…110100100000101001
310110212021100211222122
4201313131310200221
51043433143404304
624412211401025
72425064163644
oct416735644051
9113767324878
1036364044329
11144706117a8
12706a2b3175
1335769c36c2
141a8d73ca5b
15e2c6c19be
hex877774829

36364044329 has 2 divisors, whose sum is σ = 36364044330. Its totient is φ = 36364044328.

The previous prime is 36364044323. The next prime is 36364044331. The reversal of 36364044329 is 92344046363.

36364044329 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., 29808713104 + 6555331225 = 172652^2 + 80965^2 .

It is a cyclic number.

It is not a de Polignac number, because 36364044329 - 212 = 36364040233 is a prime.

It is a super-2 number, since 2×363640443292 (a number of 22 digits) contains 22 as substring.

Together with 36364044331, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36364044329.

It is not a weakly prime, because it can be changed into another prime (36364044323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18182022164 + 18182022165.

It is an arithmetic number, because the mean of its divisors is an integer number (18182022165).

Almost surely, 236364044329 is an apocalyptic number.

It is an amenable number.

36364044329 is a deficient number, since it is larger than the sum of its proper divisors (1).

36364044329 is an equidigital number, since it uses as much as digits as its factorization.

36364044329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1119744, while the sum is 44.

The spelling of 36364044329 in words is "thirty-six billion, three hundred sixty-four million, forty-four thousand, three hundred twenty-nine".