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66711114 = 2342391723
BaseRepresentation
bin1111111001111…
…0111001001010
311122112021110000
43332132321022
5114034223424
610341503430
71440015021
oct376367112
9148467400
1066711114
1134725058
121a411b76
1310a89842
148c078b8
155ccb3c9
hex3f9ee4a

66711114 has 40 divisors (see below), whose sum is σ = 150194880. Its totient is φ = 22131144.

The previous prime is 66711091. The next prime is 66711131. The reversal of 66711114 is 41111766.

It is a super-2 number, since 2×667111142 = 8900745462241992, which contains 22 as substring.

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 37857 + ... + 39579.

It is an arithmetic number, because the mean of its divisors is an integer number (3754872).

Almost surely, 266711114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66711114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75097440).

66711114 is an abundant number, since it is smaller than the sum of its proper divisors (83483766).

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

66711114 is a wasteful number, since it uses less digits than its factorization.

66711114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1967 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 66711114 is about 8167.6871879376. The cubic root of 66711114 is about 405.5702255725.

It can be divided in two parts, 667 and 11114, that added together give a triangular number (11781 = T153).

The spelling of 66711114 in words is "sixty-six million, seven hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 239 478 717 1434 1723 2151 3446 4302 5169 6453 10338 12906 15507 19359 31014 38718 46521 93042 139563 279126 411797 823594 1235391 2470782 3706173 7412346 11118519 22237038 33355557 66711114