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8713006785 = 35572314721
BaseRepresentation
bin10000001110101010…
…11110111011000001
3211111020001121100000
420013111132323001
5120321012204120
64000325550213
7425626223100
oct100725367301
924436047300
108713006785
1137712a0a5a
121831b75369
13a8b187822
145c926a037
1535eddb990
hex20755eec1

8713006785 has 144 divisors (see below), whose sum is σ = 18810634752. Its totient is φ = 3853785600.

The previous prime is 8713006751. The next prime is 8713006843. The reversal of 8713006785 is 5876003178.

8713006785 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 8713006785 - 26 = 8713006721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 8713006785.

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 143 ways as a sum of consecutive naturals, for example, 1843225 + ... + 1847945.

It is an arithmetic number, because the mean of its divisors is an integer number (130629408).

Almost surely, 28713006785 is an apocalyptic number.

It is an amenable number.

8713006785 is an abundant number, since it is smaller than the sum of its proper divisors (10097627967).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8713006785 is a wasteful number, since it uses less digits than its factorization.

8713006785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 8713006785 is about 93343.4881767336. The cubic root of 8713006785 is about 2057.7345555182.

Adding to 8713006785 its product of nonzero digits (282240), we get a square (8713289025 = 933452).

The spelling of 8713006785 in words is "eight billion, seven hundred thirteen million, six thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 49 63 81 93 105 135 147 155 189 217 243 245 279 315 405 441 465 567 651 735 837 945 1085 1215 1323 1395 1519 1701 1953 2205 2511 2835 3255 3969 4185 4557 4721 5859 6615 7533 7595 8505 9765 11907 12555 13671 14163 17577 19845 22785 23605 29295 33047 37665 41013 42489 52731 59535 68355 70815 87885 99141 123039 127467 146351 165235 205065 212445 231329 263655 297423 369117 382401 439053 495705 615195 637335 693987 731755 892269 1024457 1147203 1156645 1317159 1487115 1845585 1912005 2081961 2195265 2676807 3073371 3469935 3951477 4461345 5122285 5736015 6245883 6585795 7171199 8030421 9220113 10409805 11854431 13384035 15366855 18737649 19757385 21513597 27660339 31229415 35563293 35855995 40152105 46100565 56212947 59272155 64540791 82981017 93688245 107567985 138301695 177816465 193622373 248943051 281064735 322703955 414905085 580867119 968111865 1244715255 1742601357 2904335595 8713006785