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45366588566417 is a prime number
BaseRepresentation
bin10100101000010101110110…
…11001010110101110010001
312221122000002120002211020102
422110022323121112232101
521421241233133111132
6240253042330022145
712361425233153426
oct1224127331265621
9187560076084212
1045366588566417
11135009535a53a8
125108422877955
131c41087c07c01
14b2ba7c8b3d4d
1553a150997c62
hex2942bb656b91

45366588566417 has 2 divisors, whose sum is σ = 45366588566418. Its totient is φ = 45366588566416.

The previous prime is 45366588566347. The next prime is 45366588566503. The reversal of 45366588566417 is 71466588566354.

45366588566417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44265283142656 + 1101305423761 = 6653216^2 + 1049431^2 .

It is a cyclic number.

It is not a de Polignac number, because 45366588566417 - 210 = 45366588565393 is a prime.

It is not a weakly prime, because it can be changed into another prime (45366588566917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22683294283208 + 22683294283209.

It is an arithmetic number, because the mean of its divisors is an integer number (22683294283209).

Almost surely, 245366588566417 is an apocalyptic number.

It is an amenable number.

45366588566417 is a deficient number, since it is larger than the sum of its proper divisors (1).

45366588566417 is an equidigital number, since it uses as much as digits as its factorization.

45366588566417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3483648000, while the sum is 74.

The spelling of 45366588566417 in words is "forty-five trillion, three hundred sixty-six billion, five hundred eighty-eight million, five hundred sixty-six thousand, four hundred seventeen".