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66110660660061 = 3273310021321913
BaseRepresentation
bin11110000100000100101100…
…11100011100101101011101
322200002010011121111001110200
433002002112130130231131
532131124113112110221
6352334452423254113
716632223541512653
oct1702022634345535
9280063147431420
1066110660660061
111a079412494316
1274b88325aa339
132ab72932522a4
141247ab7362dd3
15799a53b34426
hex3c209671cb5d

66110660660061 has 12 divisors (see below), whose sum is σ = 95623453703388. Its totient is φ = 44013645837504.

The previous prime is 66110660660003. The next prime is 66110660660111. The reversal of 66110660660061 is 16006606601166.

66110660660061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 46540707305625 + 19569953354436 = 6822075^2 + 4423794^2 .

It is not a de Polignac number, because 66110660660061 - 213 = 66110660651869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66110660659989 and 66110660660016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66110660661061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5010654360 + ... + 5010667553.

It is an arithmetic number, because the mean of its divisors is an integer number (7968621141949).

Almost surely, 266110660660061 is an apocalyptic number.

It is an amenable number.

66110660660061 is a deficient number, since it is larger than the sum of its proper divisors (29512793043327).

66110660660061 is a wasteful number, since it uses less digits than its factorization.

66110660660061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021322652 (or 10021322649 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 66110660660061 in words is "sixty-six trillion, one hundred ten billion, six hundred sixty million, six hundred sixty thousand, sixty-one".

Divisors: 1 3 9 733 2199 6597 10021321913 30063965739 90191897217 7345628962229 22036886886687 66110660660061