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66042036 = 22321834501
BaseRepresentation
bin1111101111101…
…1100010110100
311121021021122100
43323323202310
5113401321121
610315302100
71431230244
oct373734264
9147237570
1066042036
11343083a5
121a14a930
13108b4138
148ab1b24
155be8026
hex3efb8b4

66042036 has 18 divisors (see below), whose sum is σ = 166939682. Its totient is φ = 22014000.

The previous prime is 66042029. The next prime is 66042037. The reversal of 66042036 is 63024066.

66042036 is a `hidden beast` number, since 6 + 604 + 20 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51753636 + 14288400 = 7194^2 + 3780^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66042037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 917215 + ... + 917286.

Almost surely, 266042036 is an apocalyptic number.

It is an amenable number.

66042036 is an abundant number, since it is smaller than the sum of its proper divisors (100897646).

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

66042036 is a wasteful number, since it uses less digits than its factorization.

66042036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834511 (or 1834506 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 66042036 is about 8126.6251297817. The cubic root of 66042036 is about 404.2097806040.

The spelling of 66042036 in words is "sixty-six million, forty-two thousand, thirty-six", and thus it is an eban number.

Divisors: 1 2 3 4 6 9 12 18 36 1834501 3669002 5503503 7338004 11007006 16510509 22014012 33021018 66042036