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27910011141 = 3227112299311
BaseRepresentation
bin11001111111100100…
…001111100100000101
32200001002121110122100
4121333210033210011
5424124430324031
620453252222313
72005431115605
oct317744174405
980032543570
1027910011141
1110922523511
1254ab00a999
13282a3a0bbc
1414caa46c05
15ad53dcde6
hex67f90f905

27910011141 has 24 divisors (see below), whose sum is σ = 40500495360. Its totient is φ = 18520941600.

The previous prime is 27910011121. The next prime is 27910011229. The reversal of 27910011141 is 14111001972.

It is not a de Polignac number, because 27910011141 - 213 = 27910002949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27910011121) 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 23 ways as a sum of consecutive naturals, for example, 2992876 + ... + 3002186.

It is an arithmetic number, because the mean of its divisors is an integer number (1687520640).

Almost surely, 227910011141 is an apocalyptic number.

It is an amenable number.

27910011141 is a deficient number, since it is larger than the sum of its proper divisors (12590484219).

27910011141 is a wasteful number, since it uses less digits than its factorization.

27910011141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10817 (or 10814 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 27910011141 in words is "twenty-seven billion, nine hundred ten million, eleven thousand, one hundred forty-one".

Divisors: 1 3 9 271 813 1229 2439 3687 9311 11061 27933 83799 333059 999177 2523281 2997531 7569843 11443219 22709529 34329657 102988971 3101112349 9303337047 27910011141