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2966136303617 is a prime number
BaseRepresentation
bin101011001010011011100…
…000000011000000000001
3101111120010010202021000222
4223022123200003000001
5342044121343203432
610150342454552425
7424203423405224
oct53123340030001
911446103667028
102966136303617
11a43a27686443
123baa35068715
13186922b5b136
14a37c16995bb
155225181b112
hex2b29b803001

2966136303617 has 2 divisors, whose sum is σ = 2966136303618. Its totient is φ = 2966136303616.

The previous prime is 2966136303587. The next prime is 2966136303619. The reversal of 2966136303617 is 7163036316692.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2334200340481 + 631935963136 = 1527809^2 + 794944^2 .

It is a cyclic number.

It is not a de Polignac number, because 2966136303617 - 26 = 2966136303553 is a prime.

Together with 2966136303619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2966136303619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1483068151808 + 1483068151809.

It is an arithmetic number, because the mean of its divisors is an integer number (1483068151809).

Almost surely, 22966136303617 is an apocalyptic number.

It is an amenable number.

2966136303617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2966136303617 is an equidigital number, since it uses as much as digits as its factorization.

2966136303617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4408992, while the sum is 53.

The spelling of 2966136303617 in words is "two trillion, nine hundred sixty-six billion, one hundred thirty-six million, three hundred three thousand, six hundred seventeen".