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27138128199 = 37213137103657
BaseRepresentation
bin11001010001100011…
…101111100101000111
32121001022011202022020
4121101203233211013
5421034330100244
620244520134223
71650336166200
oct312143574507
977038152266
1027138128199
1110566847426
125314607373
1327364b3c30
14145631a5a7
15a8c76bd19
hex6518ef947

27138128199 has 48 divisors (see below), whose sum is σ = 45660934368. Its totient is φ = 14209993728.

The previous prime is 27138128197. The next prime is 27138128257. The reversal of 27138128199 is 99182183172.

It is not a de Polignac number, because 27138128199 - 21 = 27138128197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27138128197) 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 47 ways as a sum of consecutive naturals, for example, 209979 + ... + 313635.

It is an arithmetic number, because the mean of its divisors is an integer number (951269466).

Almost surely, 227138128199 is an apocalyptic number.

27138128199 is a deficient number, since it is larger than the sum of its proper divisors (18522806169).

27138128199 is a wasteful number, since it uses less digits than its factorization.

27138128199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103824 (or 103817 counting only the distinct ones).

The product of its digits is 435456, while the sum is 51.

The spelling of 27138128199 in words is "twenty-seven billion, one hundred thirty-eight million, one hundred twenty-eight thousand, one hundred ninety-nine".

Divisors: 1 3 7 13 21 39 49 91 137 147 273 411 637 959 1781 1911 2877 5343 6713 12467 20139 37401 87269 103657 261807 310971 725599 1347541 2176797 4042623 5079193 9432787 14201009 15237579 28298361 42603027 66029509 99407063 184613117 198088527 298221189 553839351 695849441 1292291819 2087548323 3876875457 9046042733 27138128199