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54057321335601 = 3236746335348009
BaseRepresentation
bin11000100101010001100110…
…11011111000101100110001
321002101211101200001112001200
430102220303123320230301
524041133343230214401
6310545331322321413
714246340546636603
oct1422506333705461
9232354350045050
1054057321335601
1116251643693591
126090807659269
13242177802246c
14d4c56175d173
1563b24d0ee686
hex312a336f8b31

54057321335601 has 24 divisors (see below), whose sum is σ = 78464664245760. Its totient is φ = 35862392212416.

The previous prime is 54057321335599. The next prime is 54057321335609. The reversal of 54057321335601 is 10653312375045.

54057321335601 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 7 + 3 + 2 + 1 + 3 + 35 + 601 = 666.

54057321335601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54057321335601 - 21 = 54057321335599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54057321335609) 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, 16144716 + ... + 19203293.

It is an arithmetic number, because the mean of its divisors is an integer number (3269361010240).

Almost surely, 254057321335601 is an apocalyptic number.

It is an amenable number.

54057321335601 is a deficient number, since it is larger than the sum of its proper divisors (24407342910159).

54057321335601 is a wasteful number, since it uses less digits than its factorization.

54057321335601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35348845 (or 35348842 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 54057321335601 in words is "fifty-four trillion, fifty-seven billion, three hundred twenty-one million, three hundred thirty-five thousand, six hundred one".

Divisors: 1 3 9 367 463 1101 1389 3303 4167 169921 509763 1529289 35348009 106044027 318132081 12972719303 16366128167 38918157909 49098384501 116754473727 147295153503 6006369037289 18019107111867 54057321335601