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57171718006068 = 22347619191808243
BaseRepresentation
bin11001111111111010100111…
…11100010110010100110100
321111102120012022211202220210
430333331103330112110310
524443200134302143233
6321332154043425420
715020343316564461
oct1477752374262464
9244376168752823
1057171718006068
1117242431394a26
1264b4318825270
1325b9367bb7903
1410191a9728668
1569227a918163
hex33ff53f16534

57171718006068 has 96 divisors (see below), whose sum is σ = 138623167549440. Its totient is φ = 18326026362240.

The previous prime is 57171718006063. The next prime is 57171718006069. The reversal of 57171718006068 is 86060081717175.

It is a junction number, because it is equal to n+sod(n) for n = 57171718005999 and 57171718006017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57171718006063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30713155 + ... + 32521397.

It is an arithmetic number, because the mean of its divisors is an integer number (1443991328640).

Almost surely, 257171718006068 is an apocalyptic number.

It is an amenable number.

57171718006068 is an abundant number, since it is smaller than the sum of its proper divisors (81451449543372).

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

57171718006068 is a wasteful number, since it uses less digits than its factorization.

57171718006068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809277 (or 1809275 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 57.

The spelling of 57171718006068 in words is "fifty-seven trillion, one hundred seventy-one billion, seven hundred eighteen million, six thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 47 61 94 122 141 183 188 244 282 366 564 732 919 1838 2757 2867 3676 5514 5734 8601 11028 11468 17202 34404 43193 56059 86386 112118 129579 168177 172772 224236 259158 336354 518316 672708 1808243 2634773 3616486 5269546 5424729 7232972 7904319 10539092 10849458 15808638 21698916 31617276 84987421 110302823 169974842 220605646 254962263 330908469 339949684 441211292 509924526 661816938 1019849052 1323633876 1661775317 3323550634 4985325951 5184232681 6647101268 9970651902 10368465362 15552698043 19941303804 20736930724 31105396086 62210792172 78103439899 101368294337 156206879798 202736588674 234310319697 304104883011 312413759596 405473177348 468620639394 608209766022 937241278788 1216419532044 4764309833839 9528619667678 14292929501517 19057239335356 28585859003034 57171718006068