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27838399113 = 33717291092741
BaseRepresentation
bin11001111011010011…
…000100001010001001
32122212002212012102000
4121323103010022021
5424003112232423
620442213301213
72003601326310
oct317323041211
978762765360
1027838399113
1110896061318
12548b034809
1328185b9715
1414c1325277
15acde94843
hex67b4c4289

27838399113 has 128 divisors (see below), whose sum is σ = 52119936000. Its totient is φ = 14317793280.

The previous prime is 27838399103. The next prime is 27838399123. The reversal of 27838399113 is 31199383872.

It is an interprime number because it is at equal distance from previous prime (27838399103) and next prime (27838399123).

It is not a de Polignac number, because 27838399113 - 24 = 27838399097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27838399113.

It is not an unprimeable number, because it can be changed into a prime (27838399103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10154923 + ... + 10157663.

It is an arithmetic number, because the mean of its divisors is an integer number (407187000).

Almost surely, 227838399113 is an apocalyptic number.

It is an amenable number.

27838399113 is a deficient number, since it is larger than the sum of its proper divisors (24281536887).

27838399113 is a wasteful number, since it uses less digits than its factorization.

27838399113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2906 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 27838399113 in words is "twenty-seven billion, eight hundred thirty-eight million, three hundred ninety-nine thousand, one hundred thirteen".

Divisors: 1 3 7 9 17 21 27 29 51 63 87 109 119 153 189 203 261 327 357 459 493 609 763 783 981 1071 1479 1827 1853 2289 2741 2943 3161 3213 3451 4437 5481 5559 6867 8223 9483 10353 12971 13311 16677 19187 20601 22127 24669 28449 31059 38913 46597 50031 53737 57561 66381 74007 79489 85347 93177 116739 139791 161211 172683 199143 238467 298769 326179 350217 376159 419373 483633 518049 556423 597429 715401 896307 978537 1128477 1258119 1351313 1450899 1669269 2091383 2146203 2688921 2935611 3385431 4053939 5007807 5079073 6274149 8066763 8664301 8806833 9459191 10156293 12161817 15023421 15237219 18822447 25992903 28377573 35553511 36485451 45711657 56467341 60650107 77978709 85132719 106660533 137134971 147293117 181950321 233936127 255398157 319981599 441879351 545850963 959944797 1031051819 1325638053 1637552889 3093155457 3976914159 9279466371 27838399113