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828021850657 = 1922293689337
BaseRepresentation
bin11000000110010011111…
…00101100001000100001
32221011021021012020121021
430003021330230020201
5102031242043210112
61432215445525441
7113552103413431
oct14031174541041
92834237166537
10828021850657
1129a186825961
12114586a13881
136010b577cb1
142c10dba22c1
1516813422907
hexc0c9f2c221

828021850657 has 6 divisors (see below), whose sum is σ = 873895637778. Its totient is φ = 784441752912.

The previous prime is 828021850637. The next prime is 828021850673. The reversal of 828021850657 is 756058120828.

It can be written as a sum of positive squares in only one way, i.e., 514202292241 + 313819558416 = 717079^2 + 560196^2 .

It is not a de Polignac number, because 828021850657 - 211 = 828021848609 is a prime.

It is a super-2 number, since 2×8280218506572 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828021850637) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1146844308 + ... + 1146845029.

It is an arithmetic number, because the mean of its divisors is an integer number (145649272963).

Almost surely, 2828021850657 is an apocalyptic number.

It is an amenable number.

828021850657 is a deficient number, since it is larger than the sum of its proper divisors (45873787121).

828021850657 is a wasteful number, since it uses less digits than its factorization.

828021850657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293689375 (or 2293689356 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 52.

The spelling of 828021850657 in words is "eight hundred twenty-eight billion, twenty-one million, eight hundred fifty thousand, six hundred fifty-seven".

Divisors: 1 19 361 2293689337 43580097403 828021850657