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4084743745 = 51819374817
BaseRepresentation
bin1111001101111000…
…0011111001000001
3101112200011111000101
43303132003321001
531331143244440
61513154122401
7203136514615
oct36336037101
911480144011
104084743745
111806805485
1295bb80401
13501353044
142aa6d3345
1518d91469a
hexf3783e41

4084743745 has 16 divisors (see below), whose sum is σ = 4935058128. Its totient is φ = 3245598720.

The previous prime is 4084743739. The next prime is 4084743769. The reversal of 4084743745 is 5473474804.

It is a Cunningham number, because it is equal to 639122+1.

It can be written as a sum of positive squares in 8 ways, for example, as 2614174641 + 1470569104 = 51129^2 + 38348^2 .

It is not a de Polignac number, because 4084743745 - 25 = 4084743713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4084743695 and 4084743704.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 845577 + ... + 850393.

It is an arithmetic number, because the mean of its divisors is an integer number (308441133).

Almost surely, 24084743745 is an apocalyptic number.

It is an amenable number.

4084743745 is a deficient number, since it is larger than the sum of its proper divisors (850314383).

4084743745 is a wasteful number, since it uses less digits than its factorization.

4084743745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5940.

The product of its (nonzero) digits is 1505280, while the sum is 46.

The square root of 4084743745 is about 63912.0000078233. Note that the first 5 decimals coincide. The cubic root of 4084743745 is about 1598.5329971471.

The spelling of 4084743745 in words is "four billion, eighty-four million, seven hundred forty-three thousand, seven hundred forty-five".

Divisors: 1 5 181 905 937 4685 4817 24085 169597 847985 871877 4359385 4513529 22567645 816948749 4084743745