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42527311185408 = 29377950067001
BaseRepresentation
bin10011010101101101010010…
…10001101100011000000000
312120120120102102210112200120
421222312221101230120000
521033231413130413113
6230240435502020240
711646332262501420
oct1152665121543000
9176516372715616
1042527311185408
1112606805530165
12492a0b2577680
131a9640127352a
14a70493476480
154db376380a23
hex26ada946c600

42527311185408 has 160 divisors (see below), whose sum is σ = 131119470197760. Its totient is φ = 11996854272000.

The previous prime is 42527311185383. The next prime is 42527311185413. The reversal of 42527311185408 is 80458111372524.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24184093 + ... + 25882908.

It is an arithmetic number, because the mean of its divisors is an integer number (819496688736).

Almost surely, 242527311185408 is an apocalyptic number.

42527311185408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42527311185408 is an abundant number, since it is smaller than the sum of its proper divisors (88592159012352).

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

42527311185408 is an equidigital number, since it uses as much as digits as its factorization.

42527311185408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50067108 (or 50067092 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 42527311185408 in words is "forty-two trillion, five hundred twenty-seven billion, three hundred eleven million, one hundred eighty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 256 316 336 384 448 474 512 553 632 672 768 896 948 1106 1264 1344 1536 1659 1792 1896 2212 2528 2688 3318 3584 3792 4424 5056 5376 6636 7584 8848 10112 10752 13272 15168 17696 20224 26544 30336 35392 40448 53088 60672 70784 106176 121344 141568 212352 283136 424704 849408 50067001 100134002 150201003 200268004 300402006 350469007 400536008 600804012 700938014 801072016 1051407021 1201608024 1401876028 1602144032 2102814042 2403216048 2803752056 3204288064 3955293079 4205628084 4806432096 5607504112 6408576128 7910586158 8411256168 9612864192 11215008224 11865879237 12817152256 15821172316 16822512336 19225728384 22430016448 23731758474 25634304512 27687051553 31642344632 33645024672 38451456768 44860032896 47463516948 55374103106 63284689264 67290049344 76902913536 83061154659 89720065792 94927033896 110748206212 126569378528 134580098688 166122309318 179440131584 189854067792 221496412424 253138757056 269160197376 332244618636 379708135584 442992824848 506277514112 538320394752 664489237272 759416271168 885985649696 1012555028224 1328978474544 1518832542336 1771971299392 2025110056448 2657956949088 3037665084672 3543942598784 5315913898176 6075330169344 7087885197568 10631827796352 14175770395136 21263655592704 42527311185408