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828041813191 is a prime number
BaseRepresentation
bin11000000110010110010…
…00110101110011000111
32221011022122202110001101
430003023020311303013
5102031312201010231
61432221441440531
7113552435165305
oct14031310656307
92834278673041
10828041813191
1129a19702001a
12114591640147
1360112747348
142c1126bb275
1516815067661
hexc0cb235cc7

828041813191 has 2 divisors, whose sum is σ = 828041813192. Its totient is φ = 828041813190.

The previous prime is 828041813189. The next prime is 828041813231. The reversal of 828041813191 is 191318140828.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 828041813191 - 21 = 828041813189 is a prime.

Together with 828041813189, 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 (828041813111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414020906595 + 414020906596.

It is an arithmetic number, because the mean of its divisors is an integer number (414020906596).

Almost surely, 2828041813191 is an apocalyptic number.

828041813191 is a deficient number, since it is larger than the sum of its proper divisors (1).

828041813191 is an equidigital number, since it uses as much as digits as its factorization.

828041813191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 46.

The spelling of 828041813191 in words is "eight hundred twenty-eight billion, forty-one million, eight hundred thirteen thousand, one hundred ninety-one".