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54156336640101 = 3217310733476093
BaseRepresentation
bin11000101000001010000010…
…01101010011000001100101
321002202021222012211011000200
430110011001031103001211
524044244134134440401
6311103024432101113
714256444336066003
oct1424050115230145
9232667865734020
1054156336640101
111628a6341a9353
1260a7a3b694799
13242abc7822b37
14d53275ad7a73
1563dae5b7c686
hex314141353065

54156336640101 has 12 divisors (see below), whose sum is σ = 78225887284428. Its totient is φ = 36104193183744.

The previous prime is 54156336640093. The next prime is 54156336640129. The reversal of 54156336640101 is 10104663365145.

54156336640101 is a `hidden beast` number, since 5 + 4 + 1 + 5 + 633 + 6 + 6 + 4 + 0 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9742975647876 + 44413360992225 = 3121374^2 + 6664335^2 .

It is not a de Polignac number, because 54156336640101 - 23 = 54156336640093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54156336640141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13841611 + ... + 17317703.

It is an arithmetic number, because the mean of its divisors is an integer number (6518823940369).

Almost surely, 254156336640101 is an apocalyptic number.

It is an amenable number.

54156336640101 is a deficient number, since it is larger than the sum of its proper divisors (24069550644327).

54156336640101 is a wasteful number, since it uses less digits than its factorization.

54156336640101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207172 (or 5207169 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 54156336640101 in words is "fifty-four trillion, one hundred fifty-six billion, three hundred thirty-six million, six hundred forty thousand, one hundred one".

Divisors: 1 3 9 1731073 3476093 5193219 10428279 15579657 31284837 6017370737789 18052112213367 54156336640101