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54675863520481 = 7412332837288203
BaseRepresentation
bin11000110111010001101110…
…11011000100010011100001
321011120221221221022011102001
430123220313123010103201
524131302132030123411
6312141424524124001
714342125603521640
oct1433506733042341
9234527857264361
1054675863520481
111646a9a3619015
126170670096601
132467bb13154a8
14d7047c447357
1564c3a0c22dc1
hex31ba376c44e1

54675863520481 has 32 divisors (see below), whose sum is σ = 64308374178048. Its totient is φ = 45509539752960.

The previous prime is 54675863520479. The next prime is 54675863520527. The reversal of 54675863520481 is 18402536857645.

54675863520481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 54675863520481 - 21 = 54675863520479 is a prime.

It is a super-3 number, since 3×546758635204813 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (54675863520401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189568926 + ... + 189857128.

It is an arithmetic number, because the mean of its divisors is an integer number (2009636693064).

Almost surely, 254675863520481 is an apocalyptic number.

It is an amenable number.

54675863520481 is a deficient number, since it is larger than the sum of its proper divisors (9632510657567).

54675863520481 is a wasteful number, since it uses less digits than its factorization.

54675863520481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291321.

The product of its (nonzero) digits is 193536000, while the sum is 64.

The spelling of 54675863520481 in words is "fifty-four trillion, six hundred seventy-five billion, eight hundred sixty-three million, five hundred twenty thousand, four hundred eighty-one".

Divisors: 1 7 41 233 287 1631 2837 9553 19859 66871 116317 288203 661021 814219 2017421 4627147 11816323 27101861 67151299 82714261 189713027 470059093 817631911 2753203259 5723423377 19272422813 33522908351 190508235263 234660358457 1333557646841 7810837645783 54675863520481