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828041813189 is a prime number
BaseRepresentation
bin11000000110010110010…
…00110101110011000101
32221011022122202110001022
430003023020311303011
5102031312201010224
61432221441440525
7113552435165303
oct14031310656305
92834278673038
10828041813189
1129a197020018
12114591640145
1360112747346
142c1126bb273
151681506765e
hexc0cb235cc5

828041813189 has 2 divisors, whose sum is σ = 828041813190. Its totient is φ = 828041813188.

The previous prime is 828041813173. The next prime is 828041813191. The reversal of 828041813189 is 981318140828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 827690550625 + 351262564 = 909775^2 + 18742^2 .

It is a cyclic number.

It is not a de Polignac number, because 828041813189 - 24 = 828041813173 is a prime.

Together with 828041813191, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 828041813189.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828041813689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414020906594 + 414020906595.

It is an arithmetic number, because the mean of its divisors is an integer number (414020906595).

Almost surely, 2828041813189 is an apocalyptic number.

It is an amenable number.

828041813189 is a deficient number, since it is larger than the sum of its proper divisors (1).

828041813189 is an equidigital number, since it uses as much as digits as its factorization.

828041813189 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 884736, while the sum is 53.

The spelling of 828041813189 in words is "eight hundred twenty-eight billion, forty-one million, eight hundred thirteen thousand, one hundred eighty-nine".