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199666452825 = 32527196672229
BaseRepresentation
bin1011100111110100001…
…1000100100101011001
3201002101002122201210100
42321331003010211121
511232404102442300
6231420413010013
720265630563160
oct2717503044531
9632332581710
10199666452825
1177750564284
1232843a83909
1315aa01a6998
149941a983d7
1552d903a700
hex2e7d0c4959

199666452825 has 72 divisors (see below), whose sum is σ = 430225390400. Its totient is φ = 86472074880.

The previous prime is 199666452823. The next prime is 199666452841. The reversal of 199666452825 is 528254666991.

It is a happy number.

199666452825 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 199666452825 - 21 = 199666452823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (199666452823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3306190 + ... + 3366039.

Almost surely, 2199666452825 is an apocalyptic number.

199666452825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199666452825 is an abundant number, since it is smaller than the sum of its proper divisors (230558937575).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199666452825 is a wasteful number, since it uses less digits than its factorization.

199666452825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672271 (or 6672263 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 199666452825 in words is "one hundred ninety-nine billion, six hundred sixty-six million, four hundred fifty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 133 171 175 225 285 315 399 475 525 665 855 1197 1425 1575 1995 3325 4275 5985 9975 29925 6672229 20016687 33361145 46705603 60050061 100083435 126772351 140116809 166805725 233528015 300250305 380317053 420350427 500417175 633861755 700584045 887406457 1140951159 1167640075 1501251525 1901585265 2101752135 2662219371 3169308775 3502920225 4437032285 5704755795 7986658113 9507926325 10508760675 13311096855 22185161425 28523778975 39933290565 66555484275 199666452825