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28268607686085 = 3351322353871133
BaseRepresentation
bin1100110110101110011000…
…10100011100010111000101
310201002110012212121011021000
412123113030110130113011
512201123102031423320
6140042230305043513
75645224310503434
oct633271424342705
9121073185534230
1028268607686085
119009716094488
12320678b626599
1312a0945054500
146da2ca72311b
153404e8508c90
hex19b5cc51c5c5

28268607686085 has 96 divisors (see below), whose sum is σ = 56784484926720. Its totient is φ = 13311772201728.

The previous prime is 28268607686017. The next prime is 28268607686149. The reversal of 28268607686085 is 58068670686282.

28268607686085 is a `hidden beast` number, since 2 + 8 + 2 + 6 + 8 + 6 + 0 + 7 + 6 + 8 + 608 + 5 = 666.

It is not a de Polignac number, because 28268607686085 - 218 = 28268607423941 is a prime.

It is a super-2 number, since 2×282686076860852 (a number of 28 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 26410822 + ... + 27460311.

It is an arithmetic number, because the mean of its divisors is an integer number (591505051320).

Almost surely, 228268607686085 is an apocalyptic number.

It is an amenable number.

28268607686085 is an abundant number, since it is smaller than the sum of its proper divisors (28515877240635).

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

28268607686085 is a wasteful number, since it uses less digits than its factorization.

28268607686085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53871196 (or 53871177 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 28268607686085 in words is "twenty-eight trillion, two hundred sixty-eight billion, six hundred seven million, six hundred eighty-six thousand, eighty-five".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 115 117 135 169 195 207 299 345 351 507 585 621 845 897 1035 1495 1521 1755 2535 2691 3105 3887 4485 4563 7605 8073 11661 13455 19435 22815 34983 40365 58305 104949 174915 524745 53871133 161613399 269355665 484840197 700324729 808066995 1239036059 1454520591 2100974187 2424200985 3501623645 3717108177 6195180295 6302922561 7272602955 9104221477 10504870935 11151324531 16107468767 18585540885 18908767683 27312664431 31514612805 33453973593 45521107385 48322406301 55756622655 80537343835 81937993293 94543838415 136563322155 144967218903 167269867965 209397093971 241612031505 245813979879 409689966465 434901656709 628191281913 724836094515 1046985469855 1229069899395 1884573845739 2174508283545 3140956409565 5653721537217 9422869228695 28268607686085