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21572000825 = 52171811931453
BaseRepresentation
bin10100000101110010…
…101001110000111001
32001200101112011222112
4110011302221300321
5323134413011300
613524322502105
71362400660454
oct240562516071
961611464875
1021572000825
11916a917561
124220504935
13205a28933b
141088dac49b
15863c88e35
hex505ca9c39

21572000825 has 48 divisors (see below), whose sum is σ = 28646510256. Its totient is φ = 16057958400.

The previous prime is 21572000767. The next prime is 21572000837. The reversal of 21572000825 is 52800027512.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 14091826681 + 7480174144 = 118709^2 + 86488^2 .

It is not a de Polignac number, because 21572000825 - 26 = 21572000761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21572000791 and 21572000800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14845799 + ... + 14847251.

It is an arithmetic number, because the mean of its divisors is an integer number (596802297).

Almost surely, 221572000825 is an apocalyptic number.

21572000825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21572000825 is a deficient number, since it is larger than the sum of its proper divisors (7074509431).

21572000825 is a wasteful number, since it uses less digits than its factorization.

21572000825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The spelling of 21572000825 in words is "twenty-one billion, five hundred seventy-two million, eight hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 17 25 85 181 193 425 905 965 1453 3077 3281 4525 4825 7265 15385 16405 24701 34933 36325 76925 82025 123505 174665 262993 280429 593861 617525 873325 1314965 1402145 2969305 4470881 4767293 6574825 7010725 14846525 22354405 23836465 50757649 111772025 119182325 253788245 862880033 1268941225 4314400165 21572000825