Search a number
-
+
6124643244 = 22321797103171
BaseRepresentation
bin1011011010000111…
…01010001110101100
3120210211121010001200
411231003222032230
5100020402040434
62451424205500
7304526415516
oct55503521654
916724533050
106124643244
112663224135
12122b169890
13767b5a275
144215b6bb6
1525ca59199
hex16d0ea3ac

6124643244 has 72 divisors (see below), whose sum is σ = 16561582128. Its totient is φ = 1901629440.

The previous prime is 6124643237. The next prime is 6124643257. The reversal of 6124643244 is 4423464216.

6124643244 is a `hidden beast` number, since 6 + 1 + 2 + 4 + 643 + 2 + 4 + 4 = 666.

It is a super-2 number, since 2×61246432442 = 75022509732549687072, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 6124643199 and 6124643208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7779 + ... + 110949.

It is an arithmetic number, because the mean of its divisors is an integer number (230021974).

Almost surely, 26124643244 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 6124643244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280791064).

6124643244 is an abundant number, since it is smaller than the sum of its proper divisors (10436938884).

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

6124643244 is a wasteful number, since it uses less digits than its factorization.

6124643244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103295 (or 103290 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 6124643244 is about 78260.0999488245. The cubic root of 6124643244 is about 1829.6173310764.

The spelling of 6124643244 in words is "six billion, one hundred twenty-four million, six hundred forty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 97 102 153 194 204 291 306 388 582 612 873 1164 1649 1746 3298 3492 4947 6596 9894 14841 19788 29682 59364 103171 206342 309513 412684 619026 928539 1238052 1753907 1857078 3507814 3714156 5261721 7015628 10007587 10523442 15785163 20015174 21046884 30022761 31570326 40030348 60045522 63140652 90068283 120091044 170128979 180136566 340257958 360273132 510386937 680515916 1020773874 1531160811 2041547748 3062321622 6124643244