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54608068026441 = 3217641556810417
BaseRepresentation
bin11000110101010011011100…
…11111110010000001001001
321011100110222011010020012100
430122221232133302001021
524124144310403321231
6312050333343304013
714334205555366236
oct1432515637620111
9234313864106170
1054608068026441
11164441738539a6
12615b4ab5ab009
132461698819447
14d6b08a52278d
1564a733e1e1e6
hex31aa6e7f2049

54608068026441 has 24 divisors (see below), whose sum is σ = 83648515475304. Its totient is φ = 34210431959040.

The previous prime is 54608068026419. The next prime is 54608068026461. The reversal of 54608068026441 is 14462086080645.

54608068026441 is a `hidden beast` number, since 5 + 4 + 60 + 80 + 68 + 0 + 2 + 6 + 441 = 666.

54608068026441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32266989603216 + 22341078423225 = 5680404^2 + 4726635^2 .

It is not a de Polignac number, because 54608068026441 - 221 = 54608065929289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54608068026461) 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 23 ways as a sum of consecutive naturals, for example, 278307136 + ... + 278503281.

It is an arithmetic number, because the mean of its divisors is an integer number (3485354811471).

Almost surely, 254608068026441 is an apocalyptic number.

54608068026441 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

54608068026441 is a deficient number, since it is larger than the sum of its proper divisors (29040447448863).

54608068026441 is a wasteful number, since it uses less digits than its factorization.

54608068026441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556811081 (or 556811078 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 54608068026441 in words is "fifty-four trillion, six hundred eight billion, sixty-eight million, twenty-six thousand, four hundred forty-one".

Divisors: 1 3 9 17 51 153 641 1923 5769 10897 32691 98073 556810417 1670431251 5011293753 9465777089 28397331267 85191993801 356915477297 1070746431891 3212239295673 6067563114049 18202689342147 54608068026441