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52827672825 = 3352419532003
BaseRepresentation
bin110001001100110001…
…100101000011111001
312001100122120211112000
4301030301211003321
51331142341012300
640134012211213
73550055544564
oct611461450371
9161318524460
1052827672825
1120449931544
12a2a3a69b09
134c9b838905
1427b20b94db
151592c48c00
hexc4cc650f9

52827672825 has 96 divisors (see below), whose sum is σ = 99567377280. Its totient is φ = 27445017600.

The previous prime is 52827672811. The next prime is 52827672847.

52827672825 is a `hidden beast` number, since 528 + 2 + 76 + 7 + 28 + 25 = 666.

52827672825 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52827672825 - 24 = 52827672809 is a prime.

It is a super-2 number, since 2×528276728252 (a number of 22 digits) contains 22 as substring.

It is a Curzon 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 95 ways as a sum of consecutive naturals, for example, 26373274 + ... + 26375276.

It is an arithmetic number, because the mean of its divisors is an integer number (1037160180).

Almost surely, 252827672825 is an apocalyptic number.

It is an amenable number.

52827672825 is a deficient number, since it is larger than the sum of its proper divisors (46739704455).

52827672825 is a wasteful number, since it uses less digits than its factorization.

52827672825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3005 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 52827672825 in words is "fifty-two billion, eight hundred twenty-seven million, six hundred seventy-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 41 45 75 123 135 205 225 369 615 675 953 1025 1107 1845 2003 2859 3075 4765 5535 6009 8577 9225 10015 14295 18027 23825 25731 27675 30045 39073 42885 50075 54081 71475 82123 90135 117219 128655 150225 195365 214425 246369 270405 351657 410615 450675 586095 643275 739107 976825 1054971 1231845 1352025 1758285 1908859 2053075 2217321 2930475 3695535 5274855 5726577 6159225 8791425 9544295 11086605 17179731 18477675 26374275 28632885 47721475 51539193 55433025 78263219 85898655 143164425 234789657 257695965 391316095 429493275 704368971 1173948285 1288479825 1956580475 2113106913 3521844855 5869741425 10565534565 17609224275 52827672825