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2028266787393 = 3271121918177369
BaseRepresentation
bin11101100000111110000…
…111110001001001000001
321011220022101210102121200
4131200332013301021001
5231212342244144033
64151434540211413
7266352225142650
oct35407607611101
97156271712550
102028266787393
117122017a7600
12289112539b69
13119359821882
1470250a49197
1537b5e892013
hex1d83e1f1241

2028266787393 has 144 divisors (see below), whose sum is σ = 3895461897600. Its totient is φ = 992662387200.

The previous prime is 2028266787389. The next prime is 2028266787413. The reversal of 2028266787393 is 3937876628202.

It is a happy number.

2028266787393 is a `hidden beast` number, since 202 + 8 + 266 + 7 + 87 + 3 + 93 = 666.

It is not a de Polignac number, because 2028266787393 - 22 = 2028266787389 is a prime.

It is a super-2 number, since 2×20282667873932 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2028266787393.

It is not an unprimeable number, because it can be changed into a prime (2028266787353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26176813 + ... + 26254181.

Almost surely, 22028266787393 is an apocalyptic number.

It is an amenable number.

2028266787393 is a deficient number, since it is larger than the sum of its proper divisors (1867195110207).

2028266787393 is a wasteful number, since it uses less digits than its factorization.

2028266787393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77604 (or 77590 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 2028266787393 in words is "two trillion, twenty-eight billion, two hundred sixty-six million, seven hundred eighty-seven thousand, three hundred ninety-three".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 121 133 171 181 209 231 363 399 543 627 693 847 1089 1197 1267 1463 1629 1881 1991 2299 2541 3439 3801 4389 5973 6897 7623 10317 11403 13167 13937 16093 17919 20691 21901 24073 30951 37829 41811 48279 65703 72219 77369 113487 125433 144837 153307 197109 216657 232107 264803 340461 416119 459921 541583 696321 794409 851059 1248357 1379763 1470011 1624749 2383227 2553177 2912833 3745071 4410033 4874247 5957413 7659531 8738499 9361649 10290077 13230099 14003789 16170121 17872239 26215497 28084947 30870231 42011367 48510363 53616717 65531543 84254841 92610693 98026523 113190847 126034101 145531089 154041679 177871331 196594629 266071991 294079569 339572541 462125037 533613993 589783887 798215973 882238707 1018717623 1078291753 1245099317 1386375111 1600841979 1694458469 1862503937 2394647919 2926791901 3234875259 3735297951 5083375407 5587511811 8780375703 9704625777 11205893853 11861209283 15250126221 16762535433 20487543307 26341127109 32194710911 35583627849 61462629921 96584132733 106750883547 184387889763 225362976377 289752398199 676088929131 2028266787393