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27780053256 = 23323671051319
BaseRepresentation
bin11001110111110100…
…011111100100001000
32122201001001220221100
4121313310133210020
5423343143201011
620432330541400
72002262361624
oct316764374410
978631056840
1027780053256
11108661301aa
125473597860
13280949b647
1414b7698184
15ac8cbbd56
hex677d1f908

27780053256 has 48 divisors (see below), whose sum is σ = 75442723200. Its totient is φ = 9234777312.

The previous prime is 27780053239. The next prime is 27780053267. The reversal of 27780053256 is 65235008772.

27780053256 is a `hidden beast` number, since 277 + 80 + 0 + 53 + 256 = 666.

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 11 ways as a sum of consecutive naturals, for example, 499236 + ... + 552083.

It is an arithmetic number, because the mean of its divisors is an integer number (1571723400).

Almost surely, 227780053256 is an apocalyptic number.

It is an amenable number.

27780053256 is an abundant number, since it is smaller than the sum of its proper divisors (47662669944).

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

27780053256 is a wasteful number, since it uses less digits than its factorization.

27780053256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051698 (or 1051691 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

It can be divided in two parts, 2778005 and 3256, that added together give a triangular number (2781261 = T2358).

The spelling of 27780053256 in words is "twenty-seven billion, seven hundred eighty million, fifty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 367 734 1101 1468 2202 2936 3303 4404 6606 8808 13212 26424 1051319 2102638 3153957 4205276 6307914 8410552 9461871 12615828 18923742 25231656 37847484 75694968 385834073 771668146 1157502219 1543336292 2315004438 3086672584 3472506657 4630008876 6945013314 9260017752 13890026628 27780053256