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12224016064 = 261323473257
BaseRepresentation
bin10110110001001101…
…11010111011000000
31011112220122100121201
423120212322323000
5200013322003224
65340551030544
7611631264541
oct133046727300
934486570551
1012224016064
115203158217
12245196b454
1311ca6aa200
1483d6924c8
154b8270a44
hex2d89baec0

12224016064 has 84 divisors (see below), whose sum is σ = 26350273944. Its totient is φ = 5623867392.

The previous prime is 12224016059. The next prime is 12224016083. The reversal of 12224016064 is 46061042221.

12224016064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 3751524 + ... + 3754780.

Almost surely, 212224016064 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 12224016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13175136972).

12224016064 is an abundant number, since it is smaller than the sum of its proper divisors (14126257880).

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

12224016064 is a wasteful number, since it uses less digits than its factorization.

12224016064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 12224016064 its reverse (46061042221), we get a palindrome (58285058285).

The spelling of 12224016064 in words is "twelve billion, two hundred twenty-four million, sixteen thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 347 416 676 694 832 1352 1388 2704 2776 3257 4511 5408 5552 6514 9022 10816 11104 13028 18044 22208 26056 36088 42341 52112 58643 72176 84682 104224 117286 144352 169364 208448 234572 288704 338728 469144 550433 677456 938288 1100866 1130179 1354912 1876576 2201732 2260358 2709824 3753152 4403464 4520716 8806928 9041432 14692327 17613856 18082864 29384654 35227712 36165728 58769308 72331456 117538616 191000251 235077232 382000502 470154464 764001004 940308928 1528002008 3056004016 6112008032 12224016064