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11662213332 = 223711123110253
BaseRepresentation
bin10101101110001111…
…10100000011010100
31010002202111211011010
422313013310003110
5142341011311312
65205121412220
7562000114650
oct126707640324
933082454133
1011662213332
114a45019540
12231579a070
13113b196763
147c8c0da60
15483c9a93c
hex2b71f40d4

11662213332 has 96 divisors (see below), whose sum is σ = 33957310464. Its totient is φ = 3026390400.

The previous prime is 11662213327. The next prime is 11662213369. The reversal of 11662213332 is 23331226611.

11662213332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11662213332.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1132318 + ... + 1142570.

It is an arithmetic number, because the mean of its divisors is an integer number (353721984).

Almost surely, 211662213332 is an apocalyptic number.

11662213332 is a gapful number since it is divisible by the number (12) 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 11662213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16978655232).

11662213332 is an abundant number, since it is smaller than the sum of its proper divisors (22295097132).

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

11662213332 is a wasteful number, since it uses less digits than its factorization.

11662213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11509 (or 11507 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 11662213332 its reverse (23331226611), we get a palindrome (34993439943).

The spelling of 11662213332 in words is "eleven billion, six hundred sixty-two million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1231 2462 3693 4924 7386 8617 10253 13541 14772 17234 20506 25851 27082 30759 34468 40623 41012 51702 54164 61518 71771 81246 94787 103404 112783 123036 143542 162492 189574 215313 225566 284361 287084 338349 379148 430626 451132 568722 676698 789481 861252 1137444 1353396 1578962 2368443 3157924 4736886 9473772 12621443 25242886 37864329 50485772 75728658 88350101 138835873 151457316 176700202 265050303 277671746 353400404 416507619 530100606 555343492 833015238 971851111 1060201212 1666030476 1943702222 2915553333 3887404444 5831106666 11662213332