Search a number
-
+
6871147866 = 2341121672099
BaseRepresentation
bin1100110011000110…
…10110010101011010
3122201212021110220000
412121203112111122
5103033003212431
63053452313430
7332162536032
oct63143262532
918655243800
106871147866
112a06647100
1213b9172876
138566cca8b
144927b88c2
152a33659e6
hex1998d655a

6871147866 has 120 divisors (see below), whose sum is σ = 17032831200. Its totient is φ = 2068711920.

The previous prime is 6871147763. The next prime is 6871147919. The reversal of 6871147866 is 6687411786.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 3272485 + ... + 3274583.

It is an arithmetic number, because the mean of its divisors is an integer number (141940260).

Almost surely, 26871147866 is an apocalyptic number.

6871147866 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6871147866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8516415600).

6871147866 is an abundant number, since it is smaller than the sum of its proper divisors (10161683334).

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

6871147866 is a wasteful number, since it uses less digits than its factorization.

6871147866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2282 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 6871147866 is about 82892.3872620399. The cubic root of 6871147866 is about 1901.1210250616.

The spelling of 6871147866 in words is "six billion, eight hundred seventy-one million, one hundred forty-seven thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 167 198 242 297 334 363 501 594 726 891 1002 1089 1503 1782 1837 2099 2178 3006 3267 3674 4198 4509 5511 6297 6534 9018 9801 11022 12594 13527 16533 18891 19602 20207 23089 27054 33066 37782 40414 46178 49599 56673 60621 69267 99198 113346 121242 138534 148797 170019 181863 207801 253979 297594 340038 350533 363726 415602 507958 545589 623403 701066 761937 1051599 1091178 1246806 1523874 1636767 1870209 2103198 2285811 3154797 3273534 3740418 3855863 4571622 6309594 6857433 7711726 9464391 11567589 13714866 18928782 20572299 23135178 28393173 34702767 41144598 42414493 56786346 69405534 84828986 104108301 127243479 208216602 254486958 312324903 381730437 624649806 763460874 1145191311 2290382622 3435573933 6871147866