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824824640245 = 51789411085317
BaseRepresentation
bin11000000000010110110…
…00010011001011110101
32220212000110002010102211
430000023120103023311
5102003220101441440
61430530314333421
7113406631522324
oct14001330231365
92825013063384
10824824640245
11298896008401
12113a3412a271
135ca1c075108
142bcc93020bb
15166c78c5eea
hexc00b6132f5

824824640245 has 16 divisors (see below), whose sum is σ = 1048130664048. Its totient is φ = 620974402560.

The previous prime is 824824640239. The next prime is 824824640267. The reversal of 824824640245 is 542046428428.

It can be written as a sum of positive squares in 8 ways, for example, as 81115027249 + 743709612996 = 284807^2 + 862386^2 .

It is not a de Polignac number, because 824824640245 - 221 = 824822543093 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217327 + ... + 1302643.

It is an arithmetic number, because the mean of its divisors is an integer number (65508166503).

Almost surely, 2824824640245 is an apocalyptic number.

824824640245 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

824824640245 is a deficient number, since it is larger than the sum of its proper divisors (223306023803).

824824640245 is a wasteful number, since it uses less digits than its factorization.

824824640245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094280.

The product of its (nonzero) digits is 3932160, while the sum is 49.

The spelling of 824824640245 in words is "eight hundred twenty-four billion, eight hundred twenty-four million, six hundred forty thousand, two hundred forty-five".

Divisors: 1 5 17 85 8941 44705 151997 759985 1085317 5426585 18450389 92251945 9703819297 48519096485 164964928049 824824640245