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272768113296 = 24327270603287
BaseRepresentation
bin1111111000001000111…
…1110001101010010000
3222002001200022211221200
43332002033301222100
513432112114111141
6325150303151200
725464306464550
oct3760217615220
9862050284850
10272768113296
11a5753541808
1244a455a5500
131c9500ab093
14d2b85bb160
157166ac1ab6
hex3f823f1a90

272768113296 has 60 divisors (see below), whose sum is σ = 872425000512. Its totient is φ = 77933746368.

The previous prime is 272768113283. The next prime is 272768113297. The reversal of 272768113296 is 692311867272.

It is a happy number.

272768113296 is a `hidden beast` number, since 2 + 7 + 276 + 81 + 1 + 3 + 296 = 666.

272768113296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (272768113297) by changing a digit.

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, 135300636 + ... + 135302651.

Almost surely, 2272768113296 is an apocalyptic number.

It is an amenable number.

272768113296 is an abundant number, since it is smaller than the sum of its proper divisors (599656887216).

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

272768113296 is a wasteful number, since it uses less digits than its factorization.

272768113296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270603308 (or 270603299 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 272768113296 in words is "two hundred seventy-two billion, seven hundred sixty-eight million, one hundred thirteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 270603287 541206574 811809861 1082413148 1623619722 1894223009 2164826296 2435429583 3247239444 3788446018 4329652592 4870859166 5682669027 6494478888 7576892036 9741718332 11365338054 12988957776 15153784072 17048007081 19483436664 22730676108 30307568144 34096014162 38966873328 45461352216 68192028324 90922704432 136384056648 272768113296