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2744023172028 = 2231979790719267
BaseRepresentation
bin100111111011100100100…
…001101100001110111100
3100201022210200201002200220
4213323210201230032330
5324424224413001103
65500330431421340
7402151311055635
oct47734441541674
910638720632626
102744023172028
119688085a9186
12383987984850
1316b9b6429418
1496b507c888c
154b5a1d6cc53
hex27ee486c3bc

2744023172028 has 96 divisors (see below), whose sum is σ = 6826236211200. Its totient is φ = 855412249536.

The previous prime is 2744023172017. The next prime is 2744023172053. The reversal of 2744023172028 is 8202713204472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142411251 + ... + 142430517.

It is an arithmetic number, because the mean of its divisors is an integer number (71106627200).

Almost surely, 22744023172028 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 2744023172028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413118105600).

2744023172028 is an abundant number, since it is smaller than the sum of its proper divisors (4082213039172).

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

2744023172028 is a wasteful number, since it uses less digits than its factorization.

2744023172028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27279 (or 27277 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 2744023172028 in words is "two trillion, seven hundred forty-four billion, twenty-three million, one hundred seventy-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 79 114 158 228 237 316 474 948 1501 3002 4503 6004 7907 9006 15814 18012 19267 23721 31628 38534 47442 57801 77068 94884 115602 150233 231204 300466 366073 450699 600932 624653 732146 901398 1098219 1249306 1464292 1522093 1802796 1873959 2196438 2498612 3044186 3747918 4392876 4566279 6088372 7495836 9132558 11868407 18265116 23736814 28919767 35605221 47473628 57839534 71210442 86759301 115679068 142420884 152344169 173518602 304688338 347037204 457032507 609376676 914065014 1828130028 2894539211 5789078422 8683617633 11578156844 12035189351 17367235266 24070378702 34734470532 36105568053 48140757404 72211136106 144422272212 228668597669 457337195338 686005793007 914674390676 1372011586014 2744023172028