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66293676 = 223217149727
BaseRepresentation
bin1111110011100…
…0111110101100
311121202001211100
43330320332230
5113432344201
610324523100
71433326011
oct374707654
9147661740
1066293676
113446a469
121a250490
1310971837
148b39708
155c47886
hex3f38fac

66293676 has 72 divisors (see below), whose sum is σ = 178869600. Its totient is φ = 20630016.

The previous prime is 66293657. The next prime is 66293701. The reversal of 66293676 is 67639266.

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 23 ways as a sum of consecutive naturals, for example, 90825 + ... + 91551.

It is an arithmetic number, because the mean of its divisors is an integer number (2484300).

Almost surely, 266293676 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 66293676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89434800).

66293676 is an abundant number, since it is smaller than the sum of its proper divisors (112575924).

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

66293676 is a wasteful number, since it uses less digits than its factorization.

66293676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 898 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 66293676 is about 8142.0928513497. The cubic root of 66293676 is about 404.7225168320.

The spelling of 66293676 in words is "sixty-six million, two hundred ninety-three thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 149 153 204 298 306 447 596 612 727 894 1341 1454 1788 2181 2533 2682 2908 4362 5066 5364 6543 7599 8724 10132 12359 13086 15198 22797 24718 26172 30396 37077 45594 49436 74154 91188 108323 111231 148308 216646 222462 324969 433292 444924 649938 974907 1299876 1841491 1949814 3682982 3899628 5524473 7365964 11048946 16573419 22097892 33146838 66293676