Search a number
-
+
6243585216 = 263116148463
BaseRepresentation
bin1011101000010010…
…11000110011000000
3121010010101222202220
411310021120303000
5100241324211331
62511313411040
7310502412231
oct56411306300
917103358686
106243585216
112714382a90
121262b69a80
137866a372b
144332d9088
15268201296
hex174258cc0

6243585216 has 112 divisors (see below), whose sum is σ = 18317065728. Its totient is φ = 1860940800.

The previous prime is 6243585209. The next prime is 6243585217. The reversal of 6243585216 is 6125853426.

It is not an unprimeable number, because it can be changed into a prime (6243585217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104601 + ... + 153063.

Almost surely, 26243585216 is an apocalyptic number.

6243585216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6243585216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9158532864).

6243585216 is an abundant number, since it is smaller than the sum of its proper divisors (12073480512).

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

6243585216 is a wasteful number, since it uses less digits than its factorization.

6243585216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48550 (or 48540 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 6243585216 is about 79016.3604325079. The cubic root of 6243585216 is about 1841.3853398258.

The spelling of 6243585216 in words is "six billion, two hundred forty-three million, five hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 132 176 183 192 244 264 352 366 488 528 671 704 732 976 1056 1342 1464 1952 2013 2112 2684 2928 3904 4026 5368 5856 8052 10736 11712 16104 21472 32208 42944 48463 64416 96926 128832 145389 193852 290778 387704 533093 581556 775408 1066186 1163112 1550816 1599279 2132372 2326224 2956243 3101632 3198558 4264744 4652448 5912486 6397116 8529488 8868729 9304896 11824972 12794232 17058976 17737458 23649944 25588464 32518673 34117952 35474916 47299888 51176928 65037346 70949832 94599776 97556019 102353856 130074692 141899664 189199552 195112038 260149384 283799328 390224076 520298768 567598656 780448152 1040597536 1560896304 2081195072 3121792608 6243585216