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28860145743 = 311133715112041
BaseRepresentation
bin11010111000001100…
…101110000001001111
32202111022110022021210
4122320030232001033
5433101144130433
621131433025503
72041116122412
oct327014560117
982438408253
1028860145743
111126a888720
125715255293
13294c19c020
14157acd3b79
15b3da1e463
hex6b832e04f

28860145743 has 64 divisors (see below), whose sum is σ = 46740685824. Its totient is φ = 15603840000.

The previous prime is 28860145687. The next prime is 28860145747. The reversal of 28860145743 is 34754106882.

It is not a de Polignac number, because 28860145743 - 28 = 28860145487 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 28860145692 and 28860145701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28860145747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2390803 + ... + 2402843.

It is an arithmetic number, because the mean of its divisors is an integer number (730323216).

Almost surely, 228860145743 is an apocalyptic number.

28860145743 is a deficient number, since it is larger than the sum of its proper divisors (17880540081).

28860145743 is a wasteful number, since it uses less digits than its factorization.

28860145743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12256.

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 28860145743 in words is "twenty-eight billion, eight hundred sixty million, one hundred forty-five thousand, seven hundred forty-three".

Divisors: 1 3 11 13 33 37 39 111 143 151 407 429 453 481 1221 1443 1661 1963 4983 5291 5587 5889 12041 15873 16761 21593 36123 61457 64779 72631 132451 156533 184371 217893 397353 445517 469599 798941 1336551 1721863 1818191 2396823 4900687 5165589 5454573 5791721 14702061 17375163 20000101 23636483 60000303 63708931 67273067 70909449 191126793 201819201 260001313 740003737 780003939 874549871 2220011211 2623649613 9620048581 28860145743