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66120306049 = 7210131332077
BaseRepresentation
bin111101100101000100…
…111100110110000001
320022200001000120022001
4331211010330312001
52040403244243144
650213015344001
74530344220400
oct754504746601
9208601016261
1066120306049
1126050209636
1210993682001
136309729265
1432b365b637
151abec01bd4
hexf6513cd81

66120306049 has 12 divisors (see below), whose sum is σ = 76991444244. Its totient is φ = 56618558304.

The previous prime is 66120306047. The next prime is 66120306053. The reversal of 66120306049 is 94060302166.

It is a happy number.

66120306049 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 33440705424 + 32679600625 = 182868^2 + 180775^2 .

It is not a de Polignac number, because 66120306049 - 21 = 66120306047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66120305999 and 66120306017.

It is not an unprimeable number, because it can be changed into a prime (66120306047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616402 + ... + 715675.

It is an arithmetic number, because the mean of its divisors is an integer number (6415953687).

Almost surely, 266120306049 is an apocalyptic number.

It is an amenable number.

66120306049 is a deficient number, since it is larger than the sum of its proper divisors (10871138195).

66120306049 is a wasteful number, since it uses less digits than its factorization.

66120306049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333104 (or 1333097 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 66120306049 in words is "sixty-six billion, one hundred twenty million, three hundred six thousand, forty-nine".

Divisors: 1 7 49 1013 7091 49637 1332077 9324539 65271773 1349394001 9445758007 66120306049