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27000647712 = 2532214143789
BaseRepresentation
bin11001001001010111…
…010011000000100000
32120200201111000112100
4121021113103000200
5420244131211322
620223125330400
71644046501353
oct311127230040
976621430470
1027000647712
11104a6186295
125296566a00
132713b7962c
141441d7029a
15a80661dac
hex6495d3020

27000647712 has 72 divisors (see below), whose sum is σ = 76820709420. Its totient is φ = 8995806720.

The previous prime is 27000647701. The next prime is 27000647717. The reversal of 27000647712 is 21774600072.

It is a happy number.

27000647712 is a `hidden beast` number, since 2 + 7 + 0 + 0 + 0 + 647 + 7 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21352223376 + 5648424336 = 146124^2 + 75156^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27000647717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594714 + ... + 638502.

Almost surely, 227000647712 is an apocalyptic number.

It is an amenable number.

27000647712 is an abundant number, since it is smaller than the sum of its proper divisors (49820061708).

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

27000647712 is a wasteful number, since it uses less digits than its factorization.

27000647712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45946 (or 45935 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 27000647712 in words is "twenty-seven billion, six hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2141 4282 6423 8564 12846 17128 19269 25692 34256 38538 43789 51384 68512 77076 87578 102768 131367 154152 175156 205536 262734 308304 350312 394101 525468 616608 700624 788202 1050936 1401248 1576404 2101872 3152808 4203744 6305616 12611232 93752249 187504498 281256747 375008996 562513494 750017992 843770241 1125026988 1500035984 1687540482 2250053976 3000071968 3375080964 4500107952 6750161928 9000215904 13500323856 27000647712