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66704512 = 277109683
BaseRepresentation
bin1111111001110…
…1010010000000
311122111221101111
43332131102000
5114034021022
610341413104
71436656540
oct376352200
9148457344
1066704512
11347200a6
121a40a194
1310a86834
148c05320
155cc9477
hex3f9d480

66704512 has 64 divisors (see below), whose sum is σ = 153489600. Its totient is φ = 28283904.

The previous prime is 66704501. The next prime is 66704543. The reversal of 66704512 is 21540766.

It is a happy number.

66704512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97323 + ... + 98005.

It is an arithmetic number, because the mean of its divisors is an integer number (2398275).

Almost surely, 266704512 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 66704512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76744800).

66704512 is an abundant number, since it is smaller than the sum of its proper divisors (86785088).

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

66704512 is a wasteful number, since it uses less digits than its factorization.

66704512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 66704512 is about 8167.2830243601. The cubic root of 66704512 is about 405.5568461779.

The spelling of 66704512 in words is "sixty-six million, seven hundred four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 128 218 224 436 448 683 763 872 896 1366 1526 1744 2732 3052 3488 4781 5464 6104 6976 9562 10928 12208 13952 19124 21856 24416 38248 43712 48832 74447 76496 87424 97664 148894 152992 297788 305984 521129 595576 611968 1042258 1191152 2084516 2382304 4169032 4764608 8338064 9529216 16676128 33352256 66704512