Search a number
-
+
828889287701 is a prime number
BaseRepresentation
bin11000000111111011010…
…01101100110000010101
32221020111201102121112012
430003331221230300111
5102040031124201301
61432441514034005
7113612435460416
oct14037551546025
92836451377465
10828889287701
1129a591437182
12114789418905
13602191acc57
142c19308380d
151686466aebb
hexc0fda6cc15

828889287701 has 2 divisors, whose sum is σ = 828889287702. Its totient is φ = 828889287700.

The previous prime is 828889287691. The next prime is 828889287727. The reversal of 828889287701 is 107782988828.

828889287701 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 473853256900 + 355036030801 = 688370^2 + 595849^2 .

It is a cyclic number.

It is not a de Polignac number, because 828889287701 - 214 = 828889271317 is a prime.

It is a super-2 number, since 2×8288892877012 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828889187701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414444643850 + 414444643851.

It is an arithmetic number, because the mean of its divisors is an integer number (414444643851).

Almost surely, 2828889287701 is an apocalyptic number.

It is an amenable number.

828889287701 is a deficient number, since it is larger than the sum of its proper divisors (1).

828889287701 is an equidigital number, since it uses as much as digits as its factorization.

828889287701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 57802752, while the sum is 68.

The spelling of 828889287701 in words is "eight hundred twenty-eight billion, eight hundred eighty-nine million, two hundred eighty-seven thousand, seven hundred one".