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825664419 = 32233988717
BaseRepresentation
bin110001001101101…
…010001110100011
32010112122002122200
4301031222032203
53142332230134
6213532504243
726314013616
oct6115521643
92115562580
10825664419
1139407a998
121b061b083
1310209a638
147b92a17d
154c746499
hex3136a3a3

825664419 has 12 divisors (see below), whose sum is σ = 1244480016. Its totient is φ = 526510512.

The previous prime is 825664409. The next prime is 825664421. The reversal of 825664419 is 914466528.

825664419 is a `hidden beast` number, since 82 + 566 + 4 + 4 + 1 + 9 = 666.

825664419 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825664419 - 25 = 825664387 is a prime.

It is a super-2 number, since 2×8256644192 = 1363443465605215122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (825664409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1994152 + ... + 1994565.

It is an arithmetic number, because the mean of its divisors is an integer number (103706668).

Almost surely, 2825664419 is an apocalyptic number.

825664419 is a deficient number, since it is larger than the sum of its proper divisors (418815597).

825664419 is a wasteful number, since it uses less digits than its factorization.

825664419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988746 (or 3988743 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 825664419 is about 28734.3769551386. The cubic root of 825664419 is about 938.1404383417.

The spelling of 825664419 in words is "eight hundred twenty-five million, six hundred sixty-four thousand, four hundred nineteen".

Divisors: 1 3 9 23 69 207 3988717 11966151 35898453 91740491 275221473 825664419