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66018105 = 3351313733
BaseRepresentation
bin1111101111010…
…1101100111001
311121020001211000
43323311230321
5113400034410
610314555213
71431100416
oct373655471
9147201730
1066018105
11342a141a
121a138b09
13108a628a
148aa710d
155be0dc0
hex3ef5b39

66018105 has 32 divisors (see below), whose sum is σ = 118293120. Its totient is φ = 34931520.

The previous prime is 66018091. The next prime is 66018107. The reversal of 66018105 is 50181066.

It is not a de Polignac number, because 66018105 - 28 = 66017849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66018107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15819 + ... + 19551.

It is an arithmetic number, because the mean of its divisors is an integer number (3696660).

Almost surely, 266018105 is an apocalyptic number.

It is an amenable number.

66018105 is a deficient number, since it is larger than the sum of its proper divisors (52275015).

66018105 is a wasteful number, since it uses less digits than its factorization.

66018105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3878 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 66018105 is about 8125.1526139513. The cubic root of 66018105 is about 404.1609515376.

It can be divided in two parts, 6601 and 8105, that added together give a triangular number (14706 = T171).

The spelling of 66018105 in words is "sixty-six million, eighteen thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 131 135 393 655 1179 1965 3537 3733 5895 11199 17685 18665 33597 55995 100791 167985 489023 503955 1467069 2445115 4401207 7335345 13203621 22006035 66018105