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4107405663 = 32736251759
BaseRepresentation
bin1111010011010010…
…0000100101011111
3101121020210211022200
43310310200211133
531402443440123
61515323542543
7203533241424
oct36464404537
911536724280
104107405663
111818583739
1296768aa53
13505c58c6a
142ad711d4b
151908de143
hexf4d2095f

4107405663 has 12 divisors (see below), whose sum is σ = 6014193120. Its totient is φ = 2700759456.

The previous prime is 4107405661. The next prime is 4107405671. The reversal of 4107405663 is 3665047014.

It is a happy number.

4107405663 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4107405663 - 21 = 4107405661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4107405661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3125223 + ... + 3126536.

It is an arithmetic number, because the mean of its divisors is an integer number (501182760).

Almost surely, 24107405663 is an apocalyptic number.

4107405663 is a deficient number, since it is larger than the sum of its proper divisors (1906787457).

4107405663 is a wasteful number, since it uses less digits than its factorization.

4107405663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6251838 (or 6251835 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4107405663 is about 64089.0447970634. The cubic root of 4107405663 is about 1601.4837360241.

The spelling of 4107405663 in words is "four billion, one hundred seven million, four hundred five thousand, six hundred sixty-three".

Divisors: 1 3 9 73 219 657 6251759 18755277 56265831 456378407 1369135221 4107405663