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66000129 = 3131989069
BaseRepresentation
bin1111101111000…
…1010100000001
311121012011011020
43323301110001
5113344001004
610314340053
71430664126
oct373612401
9147164136
1066000129
1134289968
121a12a629
131089b040
148aa074d
155bda8d9
hex3ef1501

66000129 has 16 divisors (see below), whose sum is σ = 99758400. Its totient is φ = 38477376.

The previous prime is 66000083. The next prime is 66000149. The reversal of 66000129 is 92100066.

66000129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66000129 - 211 = 65998081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66000099 and 66000108.

It is not an unprimeable number, because it can be changed into a prime (66000149) 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, 43794 + ... + 45275.

It is an arithmetic number, because the mean of its divisors is an integer number (6234900).

Almost surely, 266000129 is an apocalyptic number.

It is an amenable number.

66000129 is a deficient number, since it is larger than the sum of its proper divisors (33758271).

66000129 is a wasteful number, since it uses less digits than its factorization.

66000129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89104.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 66000129 is about 8124.0463440332. The cubic root of 66000129 is about 404.1242653550.

The spelling of 66000129 in words is "sixty-six million, one hundred twenty-nine", and thus it is an aban number.

Divisors: 1 3 13 19 39 57 247 741 89069 267207 1157897 1692311 3473691 5076933 22000043 66000129