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66144705 = 35111723581
BaseRepresentation
bin1111110001010…
…0100111000001
311121110111110220
43330110213001
5113413112310
610321413253
71432135464
oct374244701
9147414426
1066144705
1134378550
121a19a229
131091baa3
148adb2db
155c18670
hex3f149c1

66144705 has 32 divisors (see below), whose sum is σ = 122249088. Its totient is φ = 30182400.

The previous prime is 66144703. The next prime is 66144709. The reversal of 66144705 is 50744166.

66144705 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 66144705 - 21 = 66144703 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (66144703) 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 31 ways as a sum of consecutive naturals, for example, 8986 + ... + 14595.

It is an arithmetic number, because the mean of its divisors is an integer number (3820284).

Almost surely, 266144705 is an apocalyptic number.

It is an amenable number.

66144705 is a deficient number, since it is larger than the sum of its proper divisors (56104383).

66144705 is a wasteful number, since it uses less digits than its factorization.

66144705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23617.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 66144705 is about 8132.9395054925. The cubic root of 66144705 is about 404.4191337666.

The spelling of 66144705 in words is "sixty-six million, one hundred forty-four thousand, seven hundred five".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 2805 23581 70743 117905 259391 353715 400877 778173 1202631 1296955 2004385 3890865 4409647 6013155 13228941 22048235 66144705