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542105210301606 = 232713152163038231
BaseRepresentation
bin111101101000010101011010…
…0011111011010110010100110
32122002102202022012002121002100
41323100222310133122302212
51032023322432314122411
65200543410124552530
7222120544321363620
oct17320526437326246
92562382265077070
10542105210301606
1114780558a61a506
12509737560b2746
131a3643c05b4043
1497c206440bc10
1542a1601e7a456
hex1ed0ab47daca6

542105210301606 has 96 divisors (see below), whose sum is σ = 1355198937371136. Its totient is φ = 153409836528000.

The previous prime is 542105210301593. The next prime is 542105210301617. The reversal of 542105210301606 is 606103012501245.

542105210301606 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 0 + 5 + 2 + 10 + 30 + 1 + 606 = 666.

It is a super-2 number, since 2×5421052103016062 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22919490 + ... + 40118741.

It is an arithmetic number, because the mean of its divisors is an integer number (14116655597616).

Almost surely, 2542105210301606 is an apocalyptic number.

542105210301606 is an abundant number, since it is smaller than the sum of its proper divisors (813093727069530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542105210301606 is a wasteful number, since it uses less digits than its factorization.

542105210301606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63038898 (or 63038895 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 542105210301606 in words is "five hundred forty-two trillion, one hundred five billion, two hundred ten million, three hundred one thousand, six hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 521 786 917 1042 1179 1563 1834 2358 2751 3126 3647 4689 5502 7294 8253 9378 10941 16506 21882 32823 65646 68251 136502 204753 409506 477757 614259 955514 1228518 1433271 2866542 4299813 8599626 63038231 126076462 189114693 378229386 441267617 567344079 882535234 1134688158 1323802851 2647605702 3971408553 7942817106 8258008261 16516016522 24774024783 32842918351 49548049566 57806057827 65685836702 74322074349 98528755053 115612115654 148644148698 173418173481 197057510106 229900428457 295586265159 346836346962 459800856914 520254520443 591172530318 689701285371 1040509040886 1379402570742 2069103856113 4138207712226 4302422303981 8604844607962 12907266911943 25814533823886 30116956127867 38721800735829 60233912255734 77443601471658 90350868383601 180701736767202 271052605150803 542105210301606