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66113568 = 2532229561
BaseRepresentation
bin1111110000110…
…1000000100000
311121101220202200
43330031000200
5113411113233
610321013200
71431645633
oct374150040
9147356680
1066113568
1134357114
121a184200
131090a871
148acdc1a
155c0e313
hex3f0d020

66113568 has 36 divisors (see below), whose sum is σ = 188011278. Its totient is φ = 22037760.

The previous prime is 66113557. The next prime is 66113573. The reversal of 66113568 is 86531166.

It is a happy number.

66113568 is a `hidden beast` number, since 6 + 611 + 35 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62916624 + 3196944 = 7932^2 + 1788^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114493 + ... + 115068.

Almost surely, 266113568 is an apocalyptic number.

It is an amenable number.

66113568 is an abundant number, since it is smaller than the sum of its proper divisors (121897710).

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

66113568 is a wasteful number, since it uses less digits than its factorization.

66113568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229577 (or 229566 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 66113568 is about 8131.0250276334. The cubic root of 66113568 is about 404.3556649674.

The spelling of 66113568 in words is "sixty-six million, one hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 229561 459122 688683 918244 1377366 1836488 2066049 2754732 3672976 4132098 5509464 7345952 8264196 11018928 16528392 22037856 33056784 66113568