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401346546405089 is a prime number
BaseRepresentation
bin101101101000001011100011…
…0010101001000111011100001
31221122001100120212212221102012
41123100113012111020323201
5410101130211334430324
63541332020313402305
7150352221364342655
oct13320270625107341
91848040525787365
10401346546405089
111069771293a996a
123901b796409395
13142c3a80a4560c
1471173c29a4a65
15315ee2860620e
hex16d05c6548ee1

401346546405089 has 2 divisors, whose sum is σ = 401346546405090. Its totient is φ = 401346546405088.

The previous prime is 401346546405083. The next prime is 401346546405109. The reversal of 401346546405089 is 980504645643104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201869537286400 + 199477009118689 = 14208080^2 + 14123633^2 .

It is a cyclic number.

It is not a de Polignac number, because 401346546405089 - 216 = 401346546339553 is a prime.

It is a super-2 number, since 2×4013465464050892 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401346546405083) 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, 200673273202544 + 200673273202545.

It is an arithmetic number, because the mean of its divisors is an integer number (200673273202545).

Almost surely, 2401346546405089 is an apocalyptic number.

It is an amenable number.

401346546405089 is a deficient number, since it is larger than the sum of its proper divisors (1).

401346546405089 is an equidigital number, since it uses as much as digits as its factorization.

401346546405089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49766400, while the sum is 59.

The spelling of 401346546405089 in words is "four hundred one trillion, three hundred forty-six billion, five hundred forty-six million, four hundred five thousand, eighty-nine".