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66113685 = 335112112
BaseRepresentation
bin1111110000110…
…1000010010101
311121101220221000
43330031002111
5113411114220
610321013513
71431646161
oct374150225
9147356830
1066113685
1134357210
121a184299
131090a931
148acdca1
155c0e390
hex3f0d095

66113685 has 48 divisors (see below), whose sum is σ = 128831040. Its totient is φ = 31903200.

The previous prime is 66113683. The next prime is 66113687. The reversal of 66113685 is 58631166.

It is a happy number.

66113685 is a `hidden beast` number, since 6 + 611 + 36 + 8 + 5 = 666.

66113685 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66113683) and next prime (66113687).

It is not a de Polignac number, because 66113685 - 21 = 66113683 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66113681) 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 47 ways as a sum of consecutive naturals, for example, 313230 + ... + 313440.

It is an arithmetic number, because the mean of its divisors is an integer number (2683980).

Almost surely, 266113685 is an apocalyptic number.

It is an amenable number.

66113685 is a deficient number, since it is larger than the sum of its proper divisors (62717355).

66113685 is a wasteful number, since it uses less digits than its factorization.

66113685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 230 counting only the distinct ones).

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

The square root of 66113685 is about 8131.0322222950. The cubic root of 66113685 is about 404.3559034943.

It can be divided in two parts, 6611 and 3685, that added together give a triangular number (10296 = T143).

The spelling of 66113685 in words is "sixty-six million, one hundred thirteen thousand, six hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 211 297 495 633 1055 1485 1899 2321 3165 5697 6963 9495 11605 20889 28485 34815 44521 62667 104445 133563 222605 313335 400689 489731 667815 1202067 1469193 2003445 2448655 4407579 6010335 7345965 13222737 22037895 66113685