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814093348351 is a prime number
BaseRepresentation
bin10111101100010111011…
…11101010110111111111
32212211022120021000102111
423312023233222313333
5101314230344121401
61421553405434451
7112546664200123
oct13661357526777
92784276230374
10814093348351
11294289520a28
1211193a26ba27
135b9cba1055a
142b58bdbb583
151629a713e51
hexbd8bbeadff

814093348351 has 2 divisors, whose sum is σ = 814093348352. Its totient is φ = 814093348350.

The previous prime is 814093348331. The next prime is 814093348361. The reversal of 814093348351 is 153843390418.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 814093348351 - 221 = 814091251199 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 814093348295 and 814093348304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (814093348331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407046674175 + 407046674176.

It is an arithmetic number, because the mean of its divisors is an integer number (407046674176).

Almost surely, 2814093348351 is an apocalyptic number.

814093348351 is a deficient number, since it is larger than the sum of its proper divisors (1).

814093348351 is an equidigital number, since it uses as much as digits as its factorization.

814093348351 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 814093348351 in words is "eight hundred fourteen billion, ninety-three million, three hundred forty-eight thousand, three hundred fifty-one".