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54831713166108 = 223217592153705317
BaseRepresentation
bin11000111011110100000001…
…10010010010001100011100
321012010212020100220110112100
430131322000302102030130
524141330322032303413
6312341201415005100
714356313652614424
oct1435720062221434
9235125210813470
1054831713166108
111651aaa969353a
126196905969790
1324797ba769408
14d77c24a69484
1565147313aa73
hex31de80c9231c

54831713166108 has 144 divisors (see below), whose sum is σ = 149312378648160. Its totient is φ = 16902666596352.

The previous prime is 54831713166077. The next prime is 54831713166121. The reversal of 54831713166108 is 80166131713845.

54831713166108 is a `hidden beast` number, since 5 + 4 + 8 + 3 + 1 + 7 + 1 + 3 + 16 + 610 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77387866 + ... + 78093182.

It is an arithmetic number, because the mean of its divisors is an integer number (1036891518390).

Almost surely, 254831713166108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54831713166108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74656189324080).

54831713166108 is an abundant number, since it is smaller than the sum of its proper divisors (94480665482052).

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

54831713166108 is a wasteful number, since it uses less digits than its factorization.

54831713166108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707556 (or 707551 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 54831713166108 in words is "fifty-four trillion, eight hundred thirty-one billion, seven hundred thirteen million, one hundred sixty-six thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 59 68 102 118 153 177 204 236 306 354 531 612 708 1003 1062 2006 2124 2153 3009 4012 4306 6018 6459 8612 9027 12036 12918 18054 19377 25836 36108 36601 38754 73202 77508 109803 127027 146404 219606 254054 329409 381081 439212 508108 658818 705317 762162 1143243 1317636 1410634 1524324 2115951 2159459 2286486 2821268 4231902 4318918 4572972 6347853 6478377 8463804 8637836 11990389 12695706 12956754 19435131 23980778 25391412 25913508 35971167 38870262 41613703 47961556 71942334 77740524 83227406 107913501 124841109 143884668 166454812 215827002 249682218 374523327 431654004 499364436 707432951 749046654 1414865902 1498093308 1518547501 2122298853 2829731804 3037095002 4244597706 4555642503 6074190004 6366896559 8489195412 9111285006 12733793118 13666927509 18222570012 25467586236 25815307517 27333855018 51630615034 54667710036 77445922551 89594302559 103261230068 154891845102 179188605118 232337767653 268782907677 309783690204 358377210236 464675535306 537565815354 806348723031 929351070612 1075131630708 1523103143503 1612697446062 3046206287006 3225394892124 4569309430509 6092412574012 9138618861018 13707928291527 18277237722036 27415856583054 54831713166108