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66805744 = 24313672
BaseRepresentation
bin1111111011010…
…1111111110000
311122201002020211
43332311333300
5114100240434
610343513504
71440560635
oct376657760
9148632224
1066805744
113478a165
121a458894
1310ac0935
148c3018c
155ce9464
hex3fb5ff0

66805744 has 30 divisors (see below), whose sum is σ = 133976544. Its totient is φ = 32237280.

The previous prime is 66805727. The next prime is 66805747. The reversal of 66805744 is 44750866.

It is a junction number, because it is equal to n+sod(n) for n = 66805697 and 66805706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66805747) 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 5 ways as a sum of consecutive naturals, for example, 181849 + ... + 182215.

Almost surely, 266805744 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 66805744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66988272).

66805744 is an abundant number, since it is smaller than the sum of its proper divisors (67170800).

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

66805744 is an equidigital number, since it uses as much as digits as its factorization.

66805744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 66805744 is about 8173.4780846345. The cubic root of 66805744 is about 405.7619026682.

The spelling of 66805744 in words is "sixty-six million, eight hundred five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 367 496 734 1468 2936 5872 11377 22754 45508 91016 134689 182032 269378 538756 1077512 2155024 4175359 8350718 16701436 33402872 66805744