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45359945995313 is a prime number
BaseRepresentation
bin10100101000001001011110…
…11101111101010000110001
312221121100221121221020201102
422110010233131331100301
521421134132133322223
6240250023240414145
712361101514222055
oct1224045735752061
9187540847836642
1045359945995313
11134a9054a8a414
12510708a177355
131c40569989671
14b2b60c5d9c65
15539db2733928
hex29412f77d431

45359945995313 has 2 divisors, whose sum is σ = 45359945995314. Its totient is φ = 45359945995312.

The previous prime is 45359945995277. The next prime is 45359945995369. The reversal of 45359945995313 is 31359954995354.

45359945995313 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., 23320564164769 + 22039381830544 = 4829137^2 + 4694612^2 .

It is a cyclic number.

It is not a de Polignac number, because 45359945995313 - 26 = 45359945995249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (45349945995313) 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, 22679972997656 + 22679972997657.

It is an arithmetic number, because the mean of its divisors is an integer number (22679972997657).

Almost surely, 245359945995313 is an apocalyptic number.

It is an amenable number.

45359945995313 is a deficient number, since it is larger than the sum of its proper divisors (1).

45359945995313 is an equidigital number, since it uses as much as digits as its factorization.

45359945995313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1771470000, while the sum is 74.

The spelling of 45359945995313 in words is "forty-five trillion, three hundred fifty-nine billion, nine hundred forty-five million, nine hundred ninety-five thousand, three hundred thirteen".