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13906556115165 = 34575983140861
BaseRepresentation
bin1100101001011101111101…
…0101100101100011011101
31211020110020210202202210000
43022113133111211203131
53310321111331141130
645324330024204513
72633500265421330
oct312273725454335
954213223682700
1013906556115165
11448181242498a
121687225609739
1379b4c87b1cbc
1436111c01c617
15191b1c54b260
hexca5df5658dd

13906556115165 has 80 divisors (see below), whose sum is σ = 28972927589760. Its totient is φ = 6249532164480.

The previous prime is 13906556115143. The next prime is 13906556115239. The reversal of 13906556115165 is 56151165560931.

It is a happy number.

13906556115165 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 6 + 5 + 5 + 611 + 5 + 16 + 5 = 666.

It is not a de Polignac number, because 13906556115165 - 28 = 13906556114909 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41403166 + ... + 41737695.

It is an arithmetic number, because the mean of its divisors is an integer number (362161594872).

Almost surely, 213906556115165 is an apocalyptic number.

13906556115165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13906556115165 is an abundant number, since it is smaller than the sum of its proper divisors (15066371474595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13906556115165 is an equidigital number, since it uses as much as digits as its factorization.

13906556115165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83140944 (or 83140935 counting only the distinct ones).

The product of its (nonzero) digits is 3645000, while the sum is 54.

The spelling of 13906556115165 in words is "thirteen trillion, nine hundred six billion, five hundred fifty-six million, one hundred fifteen thousand, one hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 59 63 81 105 135 177 189 295 315 405 413 531 567 885 945 1239 1593 2065 2655 2835 3717 4779 6195 7965 11151 18585 23895 33453 55755 167265 83140861 249422583 415704305 581986027 748267749 1247112915 1745958081 2244803247 2909930135 3741338745 4905310799 5237874243 6734409741 8729790405 11224016235 14715932397 15713622729 24526553995 26189371215 33672048705 34337175593 44147797191 47140868187 73579661985 78568113645 103011526779 132443391573 171685877965 220738985955 235704340935 309034580337 397330174719 515057633895 662216957865 927103741011 1545172901685 1986650873595 2781311223033 4635518705055 13906556115165