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42542488424524 = 22118997325334429
BaseRepresentation
bin10011010110001001100011…
…11010010001000001001100
312120122000121011110011201211
421223010301322101001030
521034004004014041044
6230251425510544204
711650410344060104
oct1153046172210114
9176560534404654
1042542488424524
11126121936a9590
124931029368064
131a9797c7378aa
14a710d3036204
154db963a05634
hex26b131e9104c

42542488424524 has 96 divisors (see below), whose sum is σ = 83004653793600. Its totient is φ = 18916737269760.

The previous prime is 42542488424521. The next prime is 42542488424561.

42542488424524 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42542488424521) 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 31 ways as a sum of consecutive naturals, for example, 1235641342 + ... + 1235675770.

It is an arithmetic number, because the mean of its divisors is an integer number (864631810350).

Almost surely, 242542488424524 is an apocalyptic number.

42542488424524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42542488424524 is a deficient number, since it is larger than the sum of its proper divisors (40462165369076).

42542488424524 is a wasteful number, since it uses less digits than its factorization.

42542488424524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37883 (or 37881 counting only the distinct ones).

The product of its digits is 104857600, while the sum is 58.

The spelling of 42542488424524 in words is "forty-two trillion, five hundred forty-two billion, four hundred eighty-eight million, four hundred twenty-four thousand, five hundred twenty-four".

Divisors: 1 2 4 11 22 44 89 97 178 194 356 388 979 1067 1958 2134 3253 3916 4268 6506 8633 13012 17266 34429 34532 35783 68858 71566 94963 137716 143132 189926 289517 315541 378719 379852 579034 631082 757438 1158068 1262164 1514876 3064181 3184687 3339613 3470951 6128362 6369374 6679226 6941902 12256724 12738748 13358452 13883804 28083149 33705991 36735743 56166298 67411982 73471486 111997537 112332596 134823964 146942972 223995074 297225557 308914639 447990148 594451114 617829278 1188902228 1231972907 1235658556 2463945814 3269481127 4927891628 6538962254 9967780793 10863761089 13077924508 19935561586 21727522178 39871123172 43455044356 109645588723 119501371979 219291177446 239002743958 438582354892 478005487916 966874736921 1933749473842 3867498947684 10635622106131 21271244212262 42542488424524