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54342722206745 = 5741457691119921
BaseRepresentation
bin11000101101100101001101…
…01001110011110000011001
321010102010001202010221221122
430112302212221303300121
524110322343341103440
6311324411341415025
714306063213213330
oct1426624651636031
9233363052127848
1054342722206745
1116351689a79235
126117b9786a475
13244265c38cc8b
14d5c2b79cad17
156438a3c807b5
hex316ca6a73c19

54342722206745 has 64 divisors (see below), whose sum is σ = 76623319567872. Its totient is φ = 36222363648000.

The previous prime is 54342722206733. The next prime is 54342722206777. The reversal of 54342722206745 is 54760222724345.

54342722206745 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 54342722206745 - 26 = 54342722206681 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 453094385 + ... + 453214305.

It is an arithmetic number, because the mean of its divisors is an integer number (1197239368248).

Almost surely, 254342722206745 is an apocalyptic number.

It is an amenable number.

54342722206745 is a deficient number, since it is larger than the sum of its proper divisors (22280597361127).

54342722206745 is a wasteful number, since it uses less digits than its factorization.

54342722206745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121122.

The product of its (nonzero) digits is 22579200, while the sum is 53.

The spelling of 54342722206745 in words is "fifty-four trillion, three hundred forty-two billion, seven hundred twenty-two million, two hundred six thousand, seven hundred forty-five".

Divisors: 1 5 7 35 41 205 287 457 691 1435 2285 3199 3455 4837 15995 18737 24185 28331 93685 119921 131159 141655 198317 315787 599605 655795 839447 991585 1578935 2210509 4197235 4916761 11052545 12947267 24583805 34417327 54803897 64736335 82865411 90630869 172086635 274019485 383627279 414327055 453154345 580057877 1918136395 2246959777 2900289385 3397481851 11234798885 15728718439 16987409255 23782372957 37869492827 78643592195 118911864785 189347464135 265086449789 1325432248945 1552649205907 7763246029535 10868544441349 54342722206745