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66114256 = 2413317857
BaseRepresentation
bin1111110000110…
…1001011010000
311121101221201011
43330031023100
5113411124011
610321020304
71431650635
oct374151320
9147357634
1066114256
113435768a
121a184694
131090ac80
148ad018c
155c0e621
hex3f0d2d0

66114256 has 20 divisors (see below), whose sum is σ = 137950372. Its totient is φ = 30514176.

The previous prime is 66114247. The next prime is 66114283. The reversal of 66114256 is 65241166.

66114256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39488656 + 26625600 = 6284^2 + 5160^2 .

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 3 ways as a sum of consecutive naturals, for example, 158721 + ... + 159136.

Almost surely, 266114256 is an apocalyptic number.

It is an amenable number.

66114256 is an abundant number, since it is smaller than the sum of its proper divisors (71836116).

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

66114256 is a wasteful number, since it uses less digits than its factorization.

66114256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317878 (or 317872 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 66114256 is about 8131.0673346124. The cubic root of 66114256 is about 404.3570675828.

The spelling of 66114256 in words is "sixty-six million, one hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 317857 635714 1271428 2542856 4132141 5085712 8264282 16528564 33057128 66114256