Search a number
-
+
66265641 = 3313188791
BaseRepresentation
bin1111110011001…
…0001000101001
311121200122101000
43330302020221
5113431000031
610324145213
71433151201
oct374621051
9147618330
1066265641
11344503a2
121a238209
1310961b50
148b2d401
155c3e3e6
hex3f32229

66265641 has 16 divisors (see below), whose sum is σ = 105723520. Its totient is φ = 40778640.

The previous prime is 66265627. The next prime is 66265681. The reversal of 66265641 is 14656266.

It is a happy number.

66265641 is a `hidden beast` number, since 6 + 6 + 2 + 6 + 5 + 641 = 666.

66265641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66265641 - 210 = 66264617 is a prime.

It is a super-2 number, since 2×662656412 = 8782270354281762, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66265596 and 66265605.

It is not an unprimeable number, because it can be changed into a prime (66265681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 94045 + ... + 94746.

It is an arithmetic number, because the mean of its divisors is an integer number (6607720).

Almost surely, 266265641 is an apocalyptic number.

It is an amenable number.

66265641 is a deficient number, since it is larger than the sum of its proper divisors (39457879).

66265641 is a wasteful number, since it uses less digits than its factorization.

66265641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188813 (or 188807 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 66265641 is about 8140.3710603387. The cubic root of 66265641 is about 404.6654576159.

The spelling of 66265641 in words is "sixty-six million, two hundred sixty-five thousand, six hundred forty-one".

Divisors: 1 3 9 13 27 39 117 351 188791 566373 1699119 2454283 5097357 7362849 22088547 66265641