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27500660161 = 1314982117293
BaseRepresentation
bin11001100111001010…
…101100010111000001
32121222120100021122221
4121213022230113001
5422310132111121
620344510331041
71662330516532
oct314712542701
977876307587
1027500660161
1110732451017
1253b5ab9a81
1327936372a0
14148c52a689
15aae4cdb41
hex6672ac5c1

27500660161 has 16 divisors (see below), whose sum is σ = 29852902800. Its totient is φ = 25182685440.

The previous prime is 27500660153. The next prime is 27500660189. The reversal of 27500660161 is 16106600572.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14741602225 + 12759057936 = 121415^2 + 112956^2 .

It is a cyclic number.

It is not a de Polignac number, because 27500660161 - 23 = 27500660153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27500660261) by changing a digit.

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, 1581631 + ... + 1598923.

It is an arithmetic number, because the mean of its divisors is an integer number (1865806425).

Almost surely, 227500660161 is an apocalyptic number.

It is an amenable number.

27500660161 is a deficient number, since it is larger than the sum of its proper divisors (2352242639).

27500660161 is a wasteful number, since it uses less digits than its factorization.

27500660161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18276.

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 27500660161 in words is "twenty-seven billion, five hundred million, six hundred sixty thousand, one hundred sixty-one".

Divisors: 1 13 149 821 1937 10673 17293 122329 224809 1590277 2576657 14197553 33496541 184568189 2115435397 27500660161