Search a number
-
+
868684776912 = 243323217940123
BaseRepresentation
bin11001010010000011010…
…01011100010111010000
310002001020010122220222000
430221001221130113100
5103213031300330122
61503022425314000
7116521550526021
oct14510151342720
93061203586860
10868684776912
11305452a01237
12120434935900
1363bbba88cc4
143008a416c48
15178e32070ac
hexca41a5c5d0

868684776912 has 160 divisors (see below), whose sum is σ = 2603116723200. Its totient is φ = 276837948288.

The previous prime is 868684776863. The next prime is 868684777003. The reversal of 868684776912 is 219677486868.

868684776912 is a `hidden beast` number, since 8 + 6 + 8 + 68 + 477 + 6 + 91 + 2 = 666.

It is a super-2 number, since 2×8686847769122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 21630483 + ... + 21670605.

It is an arithmetic number, because the mean of its divisors is an integer number (16269479520).

Almost surely, 2868684776912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868684776912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301558361600).

868684776912 is an abundant number, since it is smaller than the sum of its proper divisors (1734431946288).

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

868684776912 is a wasteful number, since it uses less digits than its factorization.

868684776912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42342 (or 42330 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 72.

The spelling of 868684776912 in words is "eight hundred sixty-eight billion, six hundred eighty-four million, seven hundred seventy-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2179 2484 3312 4358 4968 6537 8716 9936 13074 17432 19611 26148 34864 39222 40123 50117 52296 58833 78444 80246 100234 104592 117666 120369 150351 156888 160492 200468 235332 240738 300702 313776 320984 361107 400936 451053 470664 481476 601404 641968 722214 801872 902106 922829 941328 962952 1083321 1202808 1353159 1444428 1804212 1845658 1925904 2166642 2405616 2706318 2768487 2888856 3608424 3691316 4333284 5412636 5536974 5777712 7216848 7382632 8305461 8666568 10825272 11073948 14765264 16610922 17333136 21650544 22147896 24916383 33221844 44295792 49832766 66443688 87428017 99665532 132887376 174856034 199331064 262284051 349712068 398662128 524568102 699424136 786852153 1049136204 1398848272 1573704306 2010844391 2098272408 2360556459 3147408612 4021688782 4196544816 4721112918 6032533173 6294817224 8043377564 9442225836 12065066346 12589634448 16086755128 18097599519 18884451672 24130132692 32173510256 36195199038 37768903344 48260265384 54292798557 72390398076 96520530768 108585597114 144780796152 217171194228 289561592304 434342388456 868684776912