Search a number
-
+
486468646864684 = 22113534943348779
BaseRepresentation
bin110111010011100001100111…
…0111001000000011100101100
32100210102221121102102002211121
41232213003032321000130230
51002230300242044132214
64442344340003230324
7204316125365151001
oct15647031671003454
92323387542362747
10486468646864684
11131005215a42000
1246688a716783a4
1317b59a48075243
14881b2cb1b38a8
153b39274d20424
hex1ba70cee4072c

486468646864684 has 96 divisors (see below), whose sum is σ = 954251633341440. Its totient is φ = 216905484635840.

The previous prime is 486468646864657. The next prime is 486468646864687.

486468646864684 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4864686468646843 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 486468646864595 and 486468646864604.

It is not an unprimeable number, because it can be changed into a prime (486468646864687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1394601807 + ... + 1394950585.

It is an arithmetic number, because the mean of its divisors is an integer number (9940121180640).

Almost surely, 2486468646864684 is an apocalyptic number.

486468646864684 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

486468646864684 is a deficient number, since it is larger than the sum of its proper divisors (467782986476756).

486468646864684 is a wasteful number, since it uses less digits than its factorization.

486468646864684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353812 (or 353788 counting only the distinct ones).

The product of its digits is 195689447424, while the sum is 88.

The spelling of 486468646864684 in words is "four hundred eighty-six trillion, four hundred sixty-eight billion, six hundred forty-six million, eight hundred sixty-four thousand, six hundred eighty-four".

Divisors: 1 2 4 11 22 44 53 106 121 212 242 484 583 1166 1331 2332 2662 4943 5324 6413 9886 12826 19772 25652 54373 70543 108746 141086 217492 261979 282172 348779 523958 598103 697558 1047916 1196206 1395116 2392412 2881769 3836569 5763538 6579133 7673138 11527076 13158266 15346276 18485287 26316532 31699459 36970574 42202259 63398918 73941148 84404518 126797836 168809036 203338157 348694049 406676314 464224849 697388098 813352628 928449698 1394776196 1724014597 1856899396 2236719727 3448029194 4473439454 6896058388 8946878908 18964160567 24603916997 37928321134 49207833994 75856642268 91372773641 98415667988 182745547282 208605766237 365491094564 417211532474 834423064948 1005100510051 2010201020102 2294663428607 4020402040204 4589326857214 9178653714428 11056105610561 22112211221122 44224422442244 121617161716171 243234323432342 486468646864684