Search a number
-
+
685414585368 = 233379229175403
BaseRepresentation
bin10011111100101011110…
…01001001010000011000
32102112011201110120021000
421332111321021100120
542212212113212433
61242513005145000
7100343132563542
oct11762571112030
92375151416230
10685414585368
11244756734817
12b0a07b5b160
134c83279b196
14252621a0692
1512c68888113
hex9f95e49418

685414585368 has 128 divisors (see below), whose sum is σ = 1936460160000. Its totient is φ = 224593140096.

The previous prime is 685414585363. The next prime is 685414585403. The reversal of 685414585368 is 863585414586.

685414585368 is a `hidden beast` number, since 6 + 8 + 5 + 4 + 14 + 585 + 36 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685414585363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3819955 + ... + 3995357.

It is an arithmetic number, because the mean of its divisors is an integer number (15128595000).

Almost surely, 2685414585368 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 685414585368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968230080000).

685414585368 is an abundant number, since it is smaller than the sum of its proper divisors (1251045574632).

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

685414585368 is a wasteful number, since it uses less digits than its factorization.

685414585368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175726 (or 175716 counting only the distinct ones).

The product of its digits is 110592000, while the sum is 63.

The spelling of 685414585368 in words is "six hundred eighty-five billion, four hundred fourteen million, five hundred eighty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 229 237 316 458 474 632 687 711 916 948 1374 1422 1832 1896 2061 2133 2748 2844 4122 4266 5496 5688 6183 8244 8532 12366 16488 17064 18091 24732 36182 49464 54273 72364 108546 144728 162819 175403 217092 325638 350806 434184 488457 526209 651276 701612 976914 1052418 1302552 1403224 1578627 1953828 2104836 3157254 3907656 4209672 4735881 6314508 9471762 12629016 13856837 18943524 27713674 37887048 40167287 41570511 55427348 80334574 83141022 110854696 120501861 124711533 160669148 166282044 241003722 249423066 321338296 332564088 361505583 374134599 482007444 498846132 723011166 748269198 964014888 997692264 1084516749 1446022332 1496538396 2169033498 2892044664 2993076792 3173215673 4338066996 6346431346 8676133992 9519647019 12692862692 19039294038 25385725384 28558941057 38078588076 57117882114 76157176152 85676823171 114235764228 171353646342 228471528456 342707292684 685414585368