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28271120754064 = 24731131272397057
BaseRepresentation
bin1100110110110011000100…
…00111000010010110010000
310201002200201000101020102211
412123121202013002112100
512201143223403112224
6140043323520521504
75645343504310306
oct633314207022620
9121080630336384
1028271120754064
11900a795703671
123207171180294
1312a0c558aaa96
146da4883b6276
153405e3e66894
hex19b6621c2590

28271120754064 has 160 divisors (see below), whose sum is σ = 56702359388160. Its totient is φ = 13650437799936.

The previous prime is 28271120754053. The next prime is 28271120754073. The reversal of 28271120754064 is 46045702117282.

It is a junction number, because it is equal to n+sod(n) for n = 28271120753999 and 28271120754017.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4006106824 + ... + 4006113880.

It is an arithmetic number, because the mean of its divisors is an integer number (354389746176).

Almost surely, 228271120754064 is an apocalyptic number.

It is an amenable number.

28271120754064 is an abundant number, since it is smaller than the sum of its proper divisors (28431238634096).

28271120754064 is a wasteful number, since it uses less digits than its factorization.

28271120754064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7617 (or 7611 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

The spelling of 28271120754064 in words is "twenty-eight trillion, two hundred seventy-one billion, one hundred twenty million, seven hundred fifty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 73 113 127 146 226 239 254 292 452 478 508 584 904 956 1016 1168 1808 1912 2032 3824 7057 8249 9271 14114 14351 16498 17447 18542 27007 28228 28702 30353 32996 34894 37084 54014 56456 57404 60706 65992 69788 74168 108028 112912 114808 121412 131984 139576 148336 216056 229616 242824 279152 432112 485648 515161 797441 896239 1030322 1047623 1594882 1686623 1792478 1971511 2060644 2095246 2215769 3189764 3373246 3429889 3584956 3943022 4121288 4190492 4431538 6379528 6746492 6859778 7169912 7886044 8242576 8380984 8863076 12759056 13492984 13719556 14339824 15772088 16761968 17726152 26985968 27439112 31544176 35452304 54878224 58213193 65425447 101275007 116426386 123123479 130850894 190588399 202550014 214201121 232852772 246246958 250381897 261701788 381176798 405100028 428402242 465705544 492493916 500763794 523403576 762353596 810200056 856804484 931411088 984987832 1001527588 1046807152 1524707192 1620400112 1713608968 1969975664 2003055176 3049414384 3427217936 4006110352 7393075511 13912953127 14786151022 15636681833 24204726673 27825906254 29572302044 31273363666 48409453346 55651812508 59144604088 62546727332 96818906692 111303625016 118289208176 125093454664 193637813384 222607250032 250186909328 387275626768 1766945047129 3533890094258 7067780188516 14135560377032 28271120754064