Search a number
-
+
6463661112 = 2333231578287
BaseRepresentation
bin1100000010100001…
…11010010000111000
3121200110112000011000
412001100322100320
5101214144123422
62545214405000
7316114133016
oct60120722070
917613460130
106463661112
112817628297
121304800760
137c016985c
144546258b6
1527c6c3cac
hex18143a438

6463661112 has 128 divisors (see below), whose sum is σ = 18856857600. Its totient is φ = 2047503744.

The previous prime is 6463661081. The next prime is 6463661123. The reversal of 6463661112 is 2111663646.

It is a happy number.

6463661112 is a `hidden beast` number, since 6 + 4 + 6 + 36 + 611 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775833 + ... + 784119.

It is an arithmetic number, because the mean of its divisors is an integer number (147319200).

Almost surely, 26463661112 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 6463661112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9428428800).

6463661112 is an abundant number, since it is smaller than the sum of its proper divisors (12393196488).

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

6463661112 is a wasteful number, since it uses less digits than its factorization.

6463661112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8482 (or 8472 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 6463661112 is about 80396.8974028227. The cubic root of 6463661112 is about 1862.7712488266.

The spelling of 6463661112 in words is "six billion, four hundred sixty-three million, six hundred sixty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 157 184 207 216 276 314 414 471 552 621 628 828 942 1242 1256 1413 1656 1884 2484 2826 3611 3768 4239 4968 5652 7222 8287 8478 10833 11304 14444 16574 16956 21666 24861 28888 32499 33148 33912 43332 49722 64998 66296 74583 86664 97497 99444 129996 149166 190601 194994 198888 223749 259992 298332 381202 389988 447498 571803 596664 762404 779976 894996 1143606 1301059 1524808 1715409 1789992 2287212 2602118 3430818 3903177 4574424 5146227 5204236 6861636 7806354 10292454 10408472 11709531 13723272 15612708 20584908 23419062 29924357 31225416 35128593 41169816 46838124 59848714 70257186 89773071 93676248 119697428 140514372 179546142 239394856 269319213 281028744 359092284 538638426 718184568 807957639 1077276852 1615915278 2154553704 3231830556 6463661112