Search a number
-
+
6642112466 = 21117732111153
BaseRepresentation
bin1100010111110011…
…01001011111010010
3122010220022021101102
412023321221133102
5102100340044331
63015031304402
7323412011243
oct61371513722
918126267342
106642112466
1128a9332450
12135451b102
1381b11a882
144701d8cca
1528d1c34cb
hex18be697d2

6642112466 has 64 divisors (see below), whose sum is σ = 11731360896. Its totient is φ = 2786918400.

The previous prime is 6642112447. The next prime is 6642112489.

6642112466 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×66421124663 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5760146 + ... + 5761298.

It is an arithmetic number, because the mean of its divisors is an integer number (183302514).

Almost surely, 26642112466 is an apocalyptic number.

6642112466 is a deficient number, since it is larger than the sum of its proper divisors (5089248430).

6642112466 is a wasteful number, since it uses less digits than its factorization.

6642112466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467.

The product of its digits is 82944, while the sum is 38.

The square root of 6642112466 is about 81499.1562287610. The cubic root of 6642112466 is about 1879.7585764000.

It can be divided in two parts, 66421 and 12466, that added together give a palindrome (78887).

The spelling of 6642112466 in words is "six billion, six hundred forty-two million, one hundred twelve thousand, four hundred sixty-six".

Divisors: 1 2 11 17 22 34 73 146 187 211 374 422 803 1153 1241 1606 2306 2321 2482 3587 4642 7174 12683 13651 15403 19601 25366 27302 30806 39202 39457 78914 84169 168338 169433 215611 243283 261851 338866 431222 486566 523702 925859 1430873 1851718 2676113 2861746 2880361 4135811 5352226 5760722 8271622 15739603 17759659 31479206 35519318 45493921 90987842 195356249 301914203 390712498 603828406 3321056233 6642112466