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4175713009 = 132171032137
BaseRepresentation
bin1111100011100100…
…0101001011110001
3101210000100012101101
43320321011023301
532022440304014
61530204004401
7205322655256
oct37071051361
911700305341
104175713009
111853098a96
12986530701
13517154200
142b881342d
151968d3474
hexf8e452f1

4175713009 has 36 divisors (see below), whose sum is σ = 4869829836. Its totient is φ = 3566324736.

The previous prime is 4175713001. The next prime is 4175713027. The reversal of 4175713009 is 9003175714.

It can be written as a sum of positive squares in 6 ways, for example, as 163123984 + 4012589025 = 12772^2 + 63345^2 .

It is not a de Polignac number, because 4175713009 - 23 = 4175713001 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4175713001) 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 35 ways as a sum of consecutive naturals, for example, 30479589 + ... + 30479725.

It is an arithmetic number, because the mean of its divisors is an integer number (135273051).

Almost surely, 24175713009 is an apocalyptic number.

It is an amenable number.

4175713009 is a deficient number, since it is larger than the sum of its proper divisors (694116827).

4175713009 is a wasteful number, since it uses less digits than its factorization.

4175713009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 4175713009 is about 64619.7571103451. The cubic root of 4175713009 is about 1610.3126855612.

The spelling of 4175713009 in words is "four billion, one hundred seventy-five million, seven hundred thirteen thousand, nine".

Divisors: 1 13 17 103 137 169 221 1339 1751 1781 2329 2873 10609 14111 17407 22763 23153 30277 137917 180353 183443 239887 295919 393601 1453433 1792921 2344589 2384759 3118531 18894629 24708361 30479657 40540903 245630177 321208693 4175713009