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542656120131884 = 2211217791519354949
BaseRepresentation
bin111101101100010101111100…
…1010001101001000100101100
32122011101102022001010122110102
41323120223321101221010230
51032111334213223210014
65202044440254330232
7222205416350566403
oct17330537121510454
92564342261118412
10542656120131884
111479a8193886a00
1250a424847b9978
131a3a4338b2a735
1498009a6b1a63a
1542b0ae72728de
hex1ed8af946912c

542656120131884 has 144 divisors (see below), whose sum is σ = 1119314144592000. Its totient is φ = 229194455592960.

The previous prime is 542656120131859. The next prime is 542656120131953. The reversal of 542656120131884 is 488131021656245.

It is a happy 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, 9875604842 + ... + 9875659790.

It is an arithmetic number, because the mean of its divisors is an integer number (7773014893000).

Almost surely, 2542656120131884 is an apocalyptic number.

It is an amenable number.

542656120131884 is an abundant number, since it is smaller than the sum of its proper divisors (576658024460116).

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

542656120131884 is a wasteful number, since it uses less digits than its factorization.

542656120131884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70264 (or 70251 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 56.

The spelling of 542656120131884 in words is "five hundred forty-two trillion, six hundred fifty-six billion, one hundred twenty million, one hundred thirty-one thousand, eight hundred eighty-four".

Divisors: 1 2 4 11 17 22 34 44 68 79 121 158 187 242 316 374 484 748 869 1343 1738 2057 2686 3476 4114 5372 8228 9559 14773 15193 19118 29546 30386 38236 54949 59092 60772 109898 162503 167123 219796 258281 325006 334246 516562 604439 650012 668492 934133 1033124 1200247 1208878 1838353 1868266 2400494 2417756 2841091 3676706 3736532 4340971 4800988 5682182 6648829 7353412 8681942 10275463 11364364 13202717 13297658 17363884 20404199 20550926 26405434 26595316 31252001 40808398 41101852 47750681 52810868 62504002 73796507 81616796 95501362 113030093 125008004 145229887 147593014 191002724 224446189 226060186 290459774 295186028 448892378 452120372 525257491 580919548 811761577 834840157 897784756 1050514982 1623523154 1669680314 2101029964 2468908079 3247046308 3339360628 4937816158 8929377347 9183241727 9875632316 14192282669 17858754694 18366483454 28384565338 35717509388 36732966908 56769130676 65952372403 101015658997 131904744806 156115109359 202031317994 263809489612 312230218718 404062635988 624460437436 725476096433 1121190330851 1450952192866 1717266202949 2242380661702 2901904385732 3434532405898 4484761323404 6869064811796 7980237060763 12333093639361 15960474121526 24666187278722 31920948243052 49332374557444 135664030032971 271328060065942 542656120131884