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542041034062005 = 325731011633711693
BaseRepresentation
bin111101100111110111100001…
…1010010011111100010110101
32122002012121122122011211121100
41323033233003102133202311
51032021300014204441010
65200454114033240313
7222113113061345352
oct17317570322374265
92562177578154540
10542041034062005
11147790347824865
1250963225703099
131a35b33387a07a
1497bccd7049629
15429eae7c8d2c0
hex1ecfbc349f8b5

542041034062005 has 48 divisors (see below), whose sum is σ = 961837957572336. Its totient is φ = 282305380377600.

The previous prime is 542041034061931. The next prime is 542041034062009. The reversal of 542041034062005 is 500260430140245.

542041034062005 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 41 + 0 + 3 + 406 + 200 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37875174626961 + 504165859435044 = 6154281^2 + 22453638^2 .

It is not a de Polignac number, because 542041034062005 - 221 = 542041031964853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542041034062009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 816524062 + ... + 817187631.

It is an arithmetic number, because the mean of its divisors is an integer number (20038290782757).

Almost surely, 2542041034062005 is an apocalyptic number.

It is an amenable number.

542041034062005 is a deficient number, since it is larger than the sum of its proper divisors (419796923510331).

542041034062005 is a wasteful number, since it uses less digits than its factorization.

542041034062005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633711878 (or 1633711875 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 542041034062005 in words is "five hundred forty-two trillion, forty-one billion, thirty-four million, sixty-two thousand, five".

Divisors: 1 3 5 9 15 45 73 101 219 303 365 505 657 909 1095 1515 3285 4545 7373 22119 36865 66357 110595 331785 1633711693 4901135079 8168558465 14703405237 24505675395 73517026185 119260953589 165004880993 357782860767 495014642979 596304767945 825024404965 1073348582301 1485043928937 1788914303835 2475073214895 5366742911505 7425219644685 12045356312489 36136068937467 60226781562445 108408206812401 180680344687335 542041034062005