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346226505622643 is a prime number
BaseRepresentation
bin100111010111001000010001…
…1111000010010010001110011
31200101212221010110200222100202
41032232100203320102101303
5330340033340414411033
63224210132205105415
7132633016366216622
oct11656204370222163
91611787113628322
10346226505622643
11a03559223547a8
12329b902425826b
1311b260337952c9
14616d6490d36b9
152a0622c9158e8
hex13ae423e12473

346226505622643 has 2 divisors, whose sum is σ = 346226505622644. Its totient is φ = 346226505622642.

The previous prime is 346226505622573. The next prime is 346226505622681.

346226505622643 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 346226505622643 - 226 = 346226438513779 is a prime.

It is a super-2 number, since 2×3462265056226432 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (346226505622043) 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, 173113252811321 + 173113252811322.

It is an arithmetic number, because the mean of its divisors is an integer number (173113252811322).

Almost surely, 2346226505622643 is an apocalyptic number.

346226505622643 is a deficient number, since it is larger than the sum of its proper divisors (1).

346226505622643 is an equidigital number, since it uses as much as digits as its factorization.

346226505622643 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 74649600, while the sum is 56.

The spelling of 346226505622643 in words is "three hundred forty-six trillion, two hundred twenty-six billion, five hundred five million, six hundred twenty-two thousand, six hundred forty-three".