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66642114 = 23711144247
BaseRepresentation
bin1111111000111…
…0000011000010
311122101202210110
43332032003002
5114030021424
610340212150
71436306610
oct376160302
9148352713
1066642114
1134688230
121a39a056
1310a64306
148bca6b0
155cb5c29
hex3f8e0c2

66642114 has 32 divisors (see below), whose sum is σ = 166173696. Its totient is φ = 17309520.

The previous prime is 66642083. The next prime is 66642119. The reversal of 66642114 is 41124666.

66642114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×666421143 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (66642119) 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, 71662 + ... + 72585.

It is an arithmetic number, because the mean of its divisors is an integer number (5192928).

Almost surely, 266642114 is an apocalyptic number.

66642114 is an abundant number, since it is smaller than the sum of its proper divisors (99531582).

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

66642114 is a wasteful number, since it uses less digits than its factorization.

66642114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144270.

The product of its digits is 6912, while the sum is 30.

The square root of 66642114 is about 8163.4621331883. The cubic root of 66642114 is about 405.4303488333.

It can be divided in two parts, 666421 and 14, that added together give a triangular number (666435 = T1154).

The spelling of 66642114 in words is "sixty-six million, six hundred forty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 144247 288494 432741 865482 1009729 1586717 2019458 3029187 3173434 4760151 6058374 9520302 11107019 22214038 33321057 66642114