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55357840993 = 72134319710259
BaseRepresentation
bin110011100011100101…
…011001111001100001
312021212222112200202011
4303203211121321201
51401333101402433
641233034352521
73666550612300
oct634345317141
9167788480664
1055357840993
1121528070314
12a88b28b741
1352b2a9b740
142972140437
15168ee333cd
hexce3959e61

55357840993 has 48 divisors (see below), whose sum is σ = 71329325760. Its totient is φ = 42559703424.

The previous prime is 55357840919. The next prime is 55357840999. The reversal of 55357840993 is 39904875355.

It is not a de Polignac number, because 55357840993 - 29 = 55357840481 is a prime.

It is a super-3 number, since 3×553578409933 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (55357840999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5390898 + ... + 5401156.

It is an arithmetic number, because the mean of its divisors is an integer number (1486027620).

Almost surely, 255357840993 is an apocalyptic number.

It is an amenable number.

55357840993 is a deficient number, since it is larger than the sum of its proper divisors (15971484767).

55357840993 is a wasteful number, since it uses less digits than its factorization.

55357840993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10526 (or 10519 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 58.

The spelling of 55357840993 in words is "fifty-five billion, three hundred fifty-seven million, eight hundred forty thousand, nine hundred ninety-three".

Divisors: 1 7 13 43 49 91 197 301 559 637 1379 2107 2561 3913 8471 9653 10259 17927 27391 59297 71813 110123 125489 133367 415079 441137 502691 770861 933569 2021023 3087959 5396027 5734781 6534983 14147161 21615713 26273299 40143467 86903989 99030127 183913093 281004269 608327923 1129751857 1287391651 4258295461 7908262999 55357840993