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27000820223 = 133109137823
BaseRepresentation
bin11001001001010111…
…111101000111111111
32120200201210210011122
4121021113331013333
5420244202221343
620223133141155
71644051120326
oct311127750777
976621723148
1027000820223
11104a6293963
12529662a7bb
132713c0a000
141441db70bd
15a80698068
hex6495fd1ff

27000820223 has 32 divisors (see below), whose sum is σ = 29769801600. Its totient is φ = 24485131008.

The previous prime is 27000820201. The next prime is 27000820247. The reversal of 27000820223 is 32202800072.

It is not a de Polignac number, because 27000820223 - 222 = 26996625919 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27000820192 and 27000820201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27000822223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32807390 + ... + 32808212.

It is an arithmetic number, because the mean of its divisors is an integer number (930306300).

Almost surely, 227000820223 is an apocalyptic number.

27000820223 is a deficient number, since it is larger than the sum of its proper divisors (2768981377).

27000820223 is a wasteful number, since it uses less digits than its factorization.

27000820223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The spelling of 27000820223 in words is "twenty-seven billion, eight hundred twenty thousand, two hundred twenty-three".

Divisors: 1 13 109 137 169 823 1417 1781 2197 10699 14933 18421 23153 89707 112751 139087 194129 239473 300989 1166191 1465763 1808131 2523677 12289859 15160483 19054919 32807801 159768167 197086279 247713947 2076986171 27000820223