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27243021568 = 28722239739
BaseRepresentation
bin11001010111110011…
…111000010100000000
32121022121112212221211
4121113303320110000
5421243203142233
620303144255504
71653051601600
oct312763702400
977277485854
1027243021568
111060aa80364
125343771594
13275214bb09
141466222c00
15a96a8b5cd
hex657cf8500

27243021568 has 108 divisors (see below), whose sum is σ = 63548123520. Its totient is φ = 11622030336.

The previous prime is 27243021437. The next prime is 27243021583. The reversal of 27243021568 is 86512034272.

It is a self number, because there is not a number n which added to its sum of digits gives 27243021568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2792443 + ... + 2802181.

Almost surely, 227243021568 is an apocalyptic number.

27243021568 is a gapful number since it is divisible by the number (28) 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 27243021568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31774061760).

27243021568 is an abundant number, since it is smaller than the sum of its proper divisors (36305101952).

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

27243021568 is an equidigital number, since it uses as much as digits as its factorization.

27243021568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992 (or 9971 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 27243021568 in words is "twenty-seven billion, two hundred forty-three million, twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 223 224 256 392 446 448 784 892 896 1561 1568 1784 1792 3122 3136 3568 6244 6272 7136 9739 10927 12488 12544 14272 19478 21854 24976 28544 38956 43708 49952 57088 68173 77912 87416 99904 136346 155824 174832 199808 272692 311648 349664 399616 477211 545384 623296 699328 954422 1090768 1246592 1398656 1908844 2171797 2181536 2493184 2797312 3817688 4343594 4363072 7635376 8687188 8726144 15202579 15270752 17374376 17452288 30405158 30541504 34748752 60810316 61083008 69497504 106418053 121620632 122166016 138995008 212836106 243241264 277990016 425672212 486482528 555980032 851344424 972965056 1702688848 1945930112 3405377696 3891860224 6810755392 13621510784 27243021568