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36615882049 is a prime number
BaseRepresentation
bin100010000110011110…
…100000010101000001
310111111211020112101121
4202012132200111001
51044442131211144
624453205232241
72434242601465
oct420636402501
9114454215347
1036615882049
111458a79014a
12711a702681
1335b6c2a6c6
141ab4d764a5
15e4486a384
hex8867a0541

36615882049 has 2 divisors, whose sum is σ = 36615882050. Its totient is φ = 36615882048.

The previous prime is 36615882001. The next prime is 36615882059. The reversal of 36615882049 is 94028851663.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22399612225 + 14216269824 = 149665^2 + 119232^2 .

It is an emirp because it is prime and its reverse (94028851663) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36615882049 - 29 = 36615881537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36615881987 and 36615882005.

It is not a weakly prime, because it can be changed into another prime (36615882059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18307941024 + 18307941025.

It is an arithmetic number, because the mean of its divisors is an integer number (18307941025).

Almost surely, 236615882049 is an apocalyptic number.

It is an amenable number.

36615882049 is a deficient number, since it is larger than the sum of its proper divisors (1).

36615882049 is an equidigital number, since it uses as much as digits as its factorization.

36615882049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 36615882049 in words is "thirty-six billion, six hundred fifteen million, eight hundred eighty-two thousand, forty-nine".