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27145175705 = 540167320117
BaseRepresentation
bin11001010001111110…
…101000001010011001
32121001210102210122222
4121101332220022121
5421043131110310
620245331153425
71650453120644
oct312176501231
977053383588
1027145175705
111056a82030a
125316a45875
132737ab095b
141457232a5b
15a8d1b0055
hex651fa8299

27145175705 has 16 divisors (see below), whose sum is σ = 32705591184. Its totient is φ = 21628723200.

The previous prime is 27145175693. The next prime is 27145175773. The reversal of 27145175705 is 50757154172.

It can be written as a sum of positive squares in 8 ways, for example, as 20403289 + 27124772416 = 4517^2 + 164696^2 .

It is not a de Polignac number, because 27145175705 - 26 = 27145175641 is a prime.

It is a Duffinian 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 15 ways as a sum of consecutive naturals, for example, 1339307 + ... + 1359423.

It is an arithmetic number, because the mean of its divisors is an integer number (2044099449).

Almost surely, 227145175705 is an apocalyptic number.

It is an amenable number.

27145175705 is a deficient number, since it is larger than the sum of its proper divisors (5560415479).

27145175705 is a wasteful number, since it uses less digits than its factorization.

27145175705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21196.

The product of its (nonzero) digits is 343000, while the sum is 44.

The spelling of 27145175705 in words is "twenty-seven billion, one hundred forty-five million, one hundred seventy-five thousand, seven hundred five".

Divisors: 1 5 401 673 2005 3365 20117 100585 269873 1349365 8066917 13538741 40334585 67693705 5429035141 27145175705