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816456816349 is a prime number
BaseRepresentation
bin10111110000110001001…
…11100101011011011101
32220001102021112122000021
423320120213211123131
5101334100421110344
61423024115032141
7112662363301306
oct13703047453335
92801367478007
10816456816349
11295291651469
1211229989b651
135bcb7578025
142b733c4b7ad
1516387e70b84
hexbe189e56dd

816456816349 has 2 divisors, whose sum is σ = 816456816350. Its totient is φ = 816456816348.

The previous prime is 816456816347. The next prime is 816456816403. The reversal of 816456816349 is 943618654618.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 541416356100 + 275040460249 = 735810^2 + 524443^2 .

It is a cyclic number.

It is not a de Polignac number, because 816456816349 - 21 = 816456816347 is a prime.

Together with 816456816347, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (816456816347) 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, 408228408174 + 408228408175.

It is an arithmetic number, because the mean of its divisors is an integer number (408228408175).

Almost surely, 2816456816349 is an apocalyptic number.

It is an amenable number.

816456816349 is a deficient number, since it is larger than the sum of its proper divisors (1).

816456816349 is an equidigital number, since it uses as much as digits as its factorization.

816456816349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29859840, while the sum is 61.

The spelling of 816456816349 in words is "eight hundred sixteen billion, four hundred fifty-six million, eight hundred sixteen thousand, three hundred forty-nine".