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54162311332041 = 32113887314073883
BaseRepresentation
bin11000101000010101001010…
…10100111100000011001001
321002202212101121020221120100
430110022211110330003021
524044343403200111131
6311105453342320013
714260045365116643
oct1424124524740311
9232685347227510
1054162311332041
111629211a813890
1260a9028589009
13242b63a59a403
14d536813d9893
1563dd454667e6
hex3142a553c0c9

54162311332041 has 24 divisors (see below), whose sum is σ = 85348873992096. Its totient is φ = 32824796466240.

The previous prime is 54162311332037. The next prime is 54162311332057. The reversal of 54162311332041 is 14023311326145.

54162311332041 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 2 + 311 + 332 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 54162311332041 - 22 = 54162311332037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54162311331987 and 54162311332005.

It is not an unprimeable number, because it can be changed into a prime (54162311332081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3188515 + ... + 10885368.

It is an arithmetic number, because the mean of its divisors is an integer number (3556203083004).

Almost surely, 254162311332041 is an apocalyptic number.

It is an amenable number.

54162311332041 is a deficient number, since it is larger than the sum of its proper divisors (31186562660055).

54162311332041 is a wasteful number, since it uses less digits than its factorization.

54162311332041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112773 (or 14112770 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 54162311332041 its reverse (14023311326145), we get a palindrome (68185622658186).

The spelling of 54162311332041 in words is "fifty-four trillion, one hundred sixty-two billion, three hundred eleven million, three hundred thirty-two thousand, forty-one".

Divisors: 1 3 9 11 33 99 38873 116619 349857 427603 1282809 3848427 14073883 42221649 126664947 154812713 464438139 1393314417 547094053859 1641282161577 4923846484731 6018034592449 18054103777347 54162311332041