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3066103667 = 118921114843
BaseRepresentation
bin1011011011000001…
…0000011101110011
321220200102012112002
42312300100131303
522234410304132
61224125124215
7135660310514
oct26660203563
97820365462
103066103667
111333810080
127169b966b
1339b2ba733
142112d2a0b
1512e2a0262
hexb6c10773

3066103667 has 16 divisors (see below), whose sum is σ = 3398682240. Its totient is φ = 2742801600.

The previous prime is 3066103637. The next prime is 3066103751. The reversal of 3066103667 is 7663016603.

3066103667 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 3066103667 - 26 = 3066103603 is a prime.

It is a super-3 number, since 3×30661036673 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3066103667.

It is not an unprimeable number, because it can be changed into a prime (3066103637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199148 + ... + 213990.

It is an arithmetic number, because the mean of its divisors is an integer number (212417640).

Almost surely, 23066103667 is an apocalyptic number.

3066103667 is a deficient number, since it is larger than the sum of its proper divisors (332578573).

3066103667 is a wasteful number, since it uses less digits than its factorization.

3066103667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15154.

The product of its (nonzero) digits is 81648, while the sum is 38.

The square root of 3066103667 is about 55372.4088964892. The cubic root of 3066103667 is about 1452.7658136406.

The spelling of 3066103667 in words is "three billion, sixty-six million, one hundred three thousand, six hundred sixty-seven".

Divisors: 1 11 89 211 979 2321 14843 18779 163273 206569 1321027 3131873 14531297 34450603 278736697 3066103667