Search a number
-
+
212317459848 = 233413171482581
BaseRepresentation
bin1100010110111100011…
…0110101010110001000
3202022000202202110220000
43011233012311112020
511434311232203343
6241312020003000
721224265426444
oct3055706652610
9668022673800
10212317459848
118205274208a
1235194830460
1317038185960
14a3c1d39824
1557c9a01ed3
hex316f1b5588

212317459848 has 160 divisors (see below), whose sum is σ = 678103355160. Its totient is φ = 61485557760.

The previous prime is 212317459847. The next prime is 212317459853. The reversal of 212317459848 is 848954713212.

212317459848 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 1 + 7 + 4 + 598 + 48 = 666.

212317459848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 108516218724 + 103801241124 = 329418^2 + 322182^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 212317459794 and 212317459803.

It is not an unprimeable number, because it can be changed into a prime (212317459847) 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 39 ways as a sum of consecutive naturals, for example, 598083 + ... + 884498.

Almost surely, 2212317459848 is an apocalyptic number.

It is an amenable number.

212317459848 is an abundant number, since it is smaller than the sum of its proper divisors (465785895312).

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

212317459848 is a wasteful number, since it uses less digits than its factorization.

212317459848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482629 (or 1482616 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 212317459848 in words is "two hundred twelve billion, three hundred seventeen million, four hundred fifty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 81 102 104 108 117 136 153 156 162 204 216 221 234 306 312 324 351 408 442 459 468 612 648 663 702 884 918 936 1053 1224 1326 1377 1404 1768 1836 1989 2106 2652 2754 2808 3672 3978 4212 5304 5508 5967 7956 8424 11016 11934 15912 17901 23868 35802 47736 71604 143208 1482581 2965162 4447743 5930324 8895486 11860648 13343229 17790972 19273553 25203877 26686458 35581944 38547106 40029687 50407754 53372916 57820659 75611631 77094212 80059374 100815508 106745832 115641318 120089061 151223262 154188424 160118748 173461977 201631016 226834893 231282636 240178122 302446524 320237496 327650401 346923954 453669786 462565272 480356244 520385931 604893048 655300802 680504679 693847908 907339572 960712488 982951203 1040771862 1310601604 1361009358 1387695816 1561157793 1814679144 1965902406 2041514037 2081543724 2621203208 2722018716 2948853609 3122315586 3931804812 4083028074 4163087448 5444037432 5897707218 6244631172 7863609624 8166056148 8846560827 11795414436 12489262344 16332112296 17693121654 23590828872 26539682481 35386243308 53079364962 70772486616 106158729924 212317459848