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68348355251679 = 354159668917383
BaseRepresentation
bin11111000101001100101110…
…11011111000110111011111
322222000001001101122020200000
433202212113123320313133
532424304412421023204
6401210445000305343
720253001646640426
oct1742462733706737
9288001041566600
1068348355251679
111a861413779958
1277ba451a72253
132c1a2b736b2b9
1412c41142262bd
157d7d6e47e039
hex3e29976f8ddf

68348355251679 has 96 divisors (see below), whose sum is σ = 106678710028800. Its totient is φ = 43691706685440.

The previous prime is 68348355251653. The next prime is 68348355251741. The reversal of 68348355251679 is 97615255384386.

68348355251679 is a `hidden beast` number, since 6 + 8 + 3 + 4 + 8 + 3 + 552 + 5 + 1 + 67 + 9 = 666.

It is not a de Polignac number, because 68348355251679 - 211 = 68348355249631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68348355251639) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3931899222 + ... + 3931916604.

It is an arithmetic number, because the mean of its divisors is an integer number (1111236562800).

Almost surely, 268348355251679 is an apocalyptic number.

68348355251679 is a deficient number, since it is larger than the sum of its proper divisors (38330354777121).

68348355251679 is a wasteful number, since it uses less digits than its factorization.

68348355251679 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24187 (or 24175 counting only the distinct ones).

The product of its digits is 1306368000, while the sum is 72.

The spelling of 68348355251679 in words is "sixty-eight trillion, three hundred forty-eight billion, three hundred fifty-five million, two hundred fifty-one thousand, six hundred seventy-nine".

Divisors: 1 3 9 27 41 59 81 123 177 243 369 531 1107 1593 2419 3321 4779 6689 7257 9963 14337 17383 20067 21771 52149 60201 65313 156447 180603 195939 274249 394651 469341 541809 587817 712703 822747 1025597 1183953 1408023 1625427 2138109 2468241 3076791 3551859 4224069 6414327 7404723 9230373 10655577 16180691 19242981 22214169 27691119 31966731 42049477 48542073 57728943 66642507 83073357 95900193 116274887 126148431 145626219 173186829 249220071 348824661 378445293 436878657 1046473983 1135335879 1310635971 3139421949 3406007637 3931907913 4767270367 6860218333 9418265847 10218022911 14301811101 20580654999 28254797541 42905433303 61741964997 128716299909 185225894991 281268951653 386148899727 555677684973 843806854959 1158446699181 1667033054919 2531420564877 7594261694631 22782785083893 68348355251679