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27269052768 = 2532412309371
BaseRepresentation
bin11001011001010111…
…001011100101100000
32121101102112102001100
4121121113023211200
5421321334142033
620305514234400
71653516060366
oct313127134540
977342472040
1027269052768
111062373aa51
125350425a00
1327576644a9
14146987b636
15a98ece513
hex6595cb960

27269052768 has 72 divisors (see below), whose sum is σ = 79437778056. Its totient is φ = 8867980800.

The previous prime is 27269052751. The next prime is 27269052779. The reversal of 27269052768 is 86725096272.

27269052768 is a `hidden beast` number, since 2 + 7 + 26 + 90 + 527 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1142878 + ... + 1166493.

It is an arithmetic number, because the mean of its divisors is an integer number (1103302473).

Almost surely, 227269052768 is an apocalyptic number.

It is an amenable number.

27269052768 is an abundant number, since it is smaller than the sum of its proper divisors (52168725288).

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

27269052768 is a wasteful number, since it uses less digits than its factorization.

27269052768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309428 (or 2309417 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 27269052768 in words is "twenty-seven billion, two hundred sixty-nine million, fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 2309371 4618742 6928113 9237484 13856226 18474968 20784339 27712452 36949936 41568678 55424904 73899872 83137356 94684211 110849808 166274712 189368422 221699616 284052633 332549424 378736844 568105266 665098848 757473688 852157899 1136210532 1514947376 1704315798 2272421064 3029894752 3408631596 4544842128 6817263192 9089684256 13634526384 27269052768