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6803814410441 is a prime number
BaseRepresentation
bin110001100000010001011…
…1100001110100011001001
3220002102211112011102022122
41203000202330032203021
51342433202442113231
622245343523301025
71301362602161306
oct143004274164311
926072745142278
106803814410441
112193532950174
1291a75b81a775
133a479b64aa69
141974409980ad
15bbeb209077b
hex63022f0e8c9

6803814410441 has 2 divisors, whose sum is σ = 6803814410442. Its totient is φ = 6803814410440.

The previous prime is 6803814410399. The next prime is 6803814410501. The reversal of 6803814410441 is 1440144183086.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6795906754816 + 7907655625 = 2606896^2 + 88925^2 .

It is a cyclic number.

It is not a de Polignac number, because 6803814410441 - 226 = 6803747301577 is a prime.

It is a super-2 number, since 2×68038144104412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6803814410392 and 6803814410401.

It is not a weakly prime, because it can be changed into another prime (6803814440441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3401907205220 + 3401907205221.

It is an arithmetic number, because the mean of its divisors is an integer number (3401907205221).

Almost surely, 26803814410441 is an apocalyptic number.

It is an amenable number.

6803814410441 is a deficient number, since it is larger than the sum of its proper divisors (1).

6803814410441 is an equidigital number, since it uses as much as digits as its factorization.

6803814410441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 294912, while the sum is 44.

The spelling of 6803814410441 in words is "six trillion, eight hundred three billion, eight hundred fourteen million, four hundred ten thousand, four hundred forty-one".