Search a number
-
+
6444405066 = 23112193891201
BaseRepresentation
bin1100000000001110…
…11101000101001010
3121122010021200211010
412000013131011022
5101144231430231
62543245544350
7315461352651
oct60007350512
917563250733
106444405066
112807775a00
1212ba2750b6
137b9186c48
14451c52198
1527ab6d546
hex1801dd14a

6444405066 has 96 divisors (see below), whose sum is σ = 14963457600. Its totient is φ = 1843776000.

The previous prime is 6444405053. The next prime is 6444405073. The reversal of 6444405066 is 6605044446.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5365266 + ... + 5366466.

It is an arithmetic number, because the mean of its divisors is an integer number (155869350).

Almost surely, 26444405066 is an apocalyptic number.

6444405066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6444405066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481728800).

6444405066 is an abundant number, since it is smaller than the sum of its proper divisors (8519052534).

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

6444405066 is a wasteful number, since it uses less digits than its factorization.

6444405066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The square root of 6444405066 is about 80277.0519264379. The cubic root of 6444405066 is about 1860.9196001864.

The spelling of 6444405066 in words is "six billion, four hundred forty-four million, four hundred five thousand, sixty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 389 418 627 726 778 1167 1201 1254 2299 2334 2402 3603 4279 4598 6897 7206 7391 8558 12837 13211 13794 14782 22173 22819 25674 26422 39633 44346 45638 47069 68457 79266 81301 94138 136914 141207 145321 162602 243903 251009 282414 290642 435963 467189 487806 502018 753027 871926 894311 934378 1401567 1506054 1788622 2682933 2761099 2803134 5139079 5365866 5522198 8283297 8876591 10278158 15417237 16566594 17753182 26629773 30834474 53259546 56529869 97642501 113059738 169589607 195285002 292927503 339179214 585855006 1074067511 2148135022 3222202533 6444405066