Search a number
-
+
828536413357 is a prime number
BaseRepresentation
bin11000000111010001001…
…11100101110010101101
32221012121010102201221001
430003220213211302231
5102033320310211412
61432342510440301
7113600622212302
oct14035047456255
92835533381831
10828536413357
1129a420229494
121146ab203091
136019105b673
142c15c2690a9
15168436b5957
hexc0e89e5cad

828536413357 has 2 divisors, whose sum is σ = 828536413358. Its totient is φ = 828536413356.

The previous prime is 828536413349. The next prime is 828536413361. The reversal of 828536413357 is 753314635828.

828536413357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 810196211881 + 18340201476 = 900109^2 + 135426^2 .

It is a cyclic number.

It is not a de Polignac number, because 828536413357 - 23 = 828536413349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 828536413298 and 828536413307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828536413307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414268206678 + 414268206679.

It is an arithmetic number, because the mean of its divisors is an integer number (414268206679).

Almost surely, 2828536413357 is an apocalyptic number.

It is an amenable number.

828536413357 is a deficient number, since it is larger than the sum of its proper divisors (1).

828536413357 is an equidigital number, since it uses as much as digits as its factorization.

828536413357 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14515200, while the sum is 55.

It can be divided in two parts, 82853 and 6413357, that added together give a triangular number (6496210 = T3604).

The spelling of 828536413357 in words is "eight hundred twenty-eight billion, five hundred thirty-six million, four hundred thirteen thousand, three hundred fifty-seven".