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11334212224 = 271312512693
BaseRepresentation
bin10101000111001001…
…00101101010000000
31002020220022122012221
422203210211222000
5141203024242344
65112403300424
7550605133336
oct124344455200
932226278187
1011334212224
11489695a445
12224397a714
1310b824376a
1479742bb56
154650aa184
hex2a3925a80

11334212224 has 64 divisors (see below), whose sum is σ = 22851370080. Its totient is φ = 5599360000.

The previous prime is 11334212203. The next prime is 11334212237. The reversal of 11334212224 is 42221243311.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 4207422 + ... + 4210114.

Almost surely, 211334212224 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 11334212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11425685040).

11334212224 is an abundant number, since it is smaller than the sum of its proper divisors (11517157856).

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

11334212224 is a wasteful number, since it uses less digits than its factorization.

11334212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3077 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

Adding to 11334212224 its reverse (42221243311), we get a palindrome (53555455535).

The spelling of 11334212224 in words is "eleven billion, three hundred thirty-four million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 131 251 262 502 524 1004 1048 2008 2096 2693 4016 4192 5386 8032 8384 10772 16064 16768 21544 32128 32881 43088 65762 86176 131524 172352 263048 344704 352783 526096 675943 705566 1052192 1351886 1411132 2104384 2703772 2822264 4208768 5407544 5644528 10815088 11289056 21630176 22578112 43260352 45156224 86520704 88548533 177097066 354194132 708388264 1416776528 2833553056 5667106112 11334212224