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2745514155472 = 241126756937199
BaseRepresentation
bin100111111100111101011…
…001010101110111010000
3100201110122121020220110221
4213330331121111313100
5324440303110433342
65501134412402424
7402233254161304
oct47747531256720
910643577226427
102745514155472
11969403190100
12384123176414
1316bb932b264a
1496c52821d04
154b63cbd5a67
hex27f3d655dd0

2745514155472 has 120 divisors (see below), whose sum is σ = 5944838256000. Its totient is φ = 1227141189120.

The previous prime is 2745514155413. The next prime is 2745514155499.

2745514155472 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73787529 + ... + 73824727.

It is an arithmetic number, because the mean of its divisors is an integer number (49540318800).

Almost surely, 22745514155472 is an apocalyptic number.

2745514155472 is a gapful number since it is divisible by the number (22) 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 2745514155472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972419128000).

2745514155472 is an abundant number, since it is smaller than the sum of its proper divisors (3199324100528).

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

2745514155472 is a wasteful number, since it uses less digits than its factorization.

2745514155472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37865 (or 37848 counting only the distinct ones).

The product of its digits is 7840000, while the sum is 52.

The spelling of 2745514155472 in words is "two trillion, seven hundred forty-five billion, five hundred fourteen million, one hundred fifty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 67 88 121 134 176 242 268 484 536 569 737 968 1072 1138 1474 1936 2276 2948 4552 5896 6259 8107 9104 11792 12518 16214 25036 32428 37199 38123 50072 64856 68849 74398 76246 100144 129712 137698 148796 152492 275396 297592 304984 409189 419353 550792 595184 609968 818378 838706 1101584 1636756 1677412 2492333 3273512 3354824 4501079 4612883 4984666 6547024 6709648 9002158 9225766 9969332 18004316 18451532 19938664 21166231 27415663 36008632 36903064 39877328 42332462 54831326 72017264 73806128 84664924 109662652 169329848 219325304 232828541 301572293 338659696 438650608 465657082 603144586 931314164 1206289172 1418137477 1862628328 2412578344 2561113951 2836274954 3725256656 4825156688 5122227902 5672549908 10244455804 11345099816 15599512247 20488911608 22690199632 31199024494 40977823216 62398048988 124796097976 171594634717 249592195952 343189269434 686378538868 1372757077736 2745514155472