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66009996 = 223213473001
BaseRepresentation
bin1111101111001…
…1101110001100
311121012122200200
43323303232030
5113344304441
610314453500
71431034653
oct373635614
9147178620
1066009996
1134296318
121a134290
13108a2690
148aa419a
155bdd7b6
hex3ef3b8c

66009996 has 72 divisors (see below), whose sum is σ = 183578304. Its totient is φ = 19872000.

The previous prime is 66009973. The next prime is 66010013. The reversal of 66009996 is 69990066.

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, 20496 + ... + 23496.

Almost surely, 266009996 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 66009996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91789152).

66009996 is an abundant number, since it is smaller than the sum of its proper divisors (117568308).

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

66009996 is a wasteful number, since it uses less digits than its factorization.

66009996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 66009996 is about 8124.6535926155. The cubic root of 66009996 is about 404.1444031713.

The spelling of 66009996 in words is "sixty-six million, nine thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 564 611 846 1222 1692 1833 2444 3001 3666 5499 6002 7332 9003 10998 12004 18006 21996 27009 36012 39013 54018 78026 108036 117039 141047 156052 234078 282094 351117 423141 468156 564188 702234 846282 1269423 1404468 1692564 1833611 2538846 3667222 5077692 5500833 7334444 11001666 16502499 22003332 33004998 66009996