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66173868 = 22331993079
BaseRepresentation
bin1111110001101…
…1101110101100
311121111222111000
43330123232230
5113420030433
610322200300
71432316505
oct374335654
9147458430
1066173868
1134398452
121a1b3090
131092c147
148b07bac
155c22113
hex3f1bbac

66173868 has 48 divisors (see below), whose sum is σ = 172480000. Its totient is φ = 21939984.

The previous prime is 66173857. The next prime is 66173873. The reversal of 66173868 is 86837166.

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 15 ways as a sum of consecutive naturals, for example, 19953 + ... + 23031.

Almost surely, 266173868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66173868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86240000).

66173868 is an abundant number, since it is smaller than the sum of its proper divisors (106306132).

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

66173868 is a wasteful number, since it uses less digits than its factorization.

66173868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3283 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 66173868 is about 8134.7322021072. The cubic root of 66173868 is about 404.4785607573.

It can be divided in two parts, 661 and 73868, that added together give a square (74529 = 2732).

The spelling of 66173868 in words is "sixty-six million, one hundred seventy-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 199 398 597 796 1194 1791 2388 3079 3582 5373 6158 7164 9237 10746 12316 18474 21492 27711 36948 55422 83133 110844 166266 332532 612721 1225442 1838163 2450884 3676326 5514489 7352652 11028978 16543467 22057956 33086934 66173868