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339617000893 is a prime number
BaseRepresentation
bin1001111000100101100…
…00000010110110111101
31012110121111022012020111
410330102300002312331
521031013423012033
6420003510550021
733352011606562
oct4742260026675
91173544265214
10339617000893
11121037a41455
12559a1068311
1326044742b81
141261a8d2869
158c7a73e7cd
hex4f12c02dbd

339617000893 has 2 divisors, whose sum is σ = 339617000894. Its totient is φ = 339617000892.

The previous prime is 339617000839. The next prime is 339617000909. The reversal of 339617000893 is 398000716933.

It is the 237914-th star number.

Together with previous prime (339617000839) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 336739965849 + 2877035044 = 580293^2 + 53638^2 .

It is an emirp because it is prime and its reverse (398000716933) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-339617000893 is a prime.

It is a super-3 number, since 3×3396170008933 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (339617700893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169808500446 + 169808500447.

It is an arithmetic number, because the mean of its divisors is an integer number (169808500447).

Almost surely, 2339617000893 is an apocalyptic number.

It is an amenable number.

339617000893 is a deficient number, since it is larger than the sum of its proper divisors (1).

339617000893 is an equidigital number, since it uses as much as digits as its factorization.

339617000893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 734832, while the sum is 49.

The spelling of 339617000893 in words is "three hundred thirty-nine billion, six hundred seventeen million, eight hundred ninety-three", and thus it is an aban number.