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9868575424140 = 22325907574110529
BaseRepresentation
bin1000111110011011010011…
…1011101011111010001100
31021221102111222201001111200
42033212310323223322030
52243141320302033030
632553321100145500
72035660333026456
oct217466473537214
937842458631450
109868575424140
11316526a60aa74
121134719b38290
135677ab0ac0c4
142618da7952d6
15121a86ed2d60
hex8f9b4eebe8c

9868575424140 has 144 divisors (see below), whose sum is σ = 29975749483680. Its totient is φ = 2628011151360.

The previous prime is 9868575424129. The next prime is 9868575424153. The reversal of 9868575424140 is 414245758689.

It is a happy number.

9868575424140 is a `hidden beast` number, since 9 + 8 + 6 + 8 + 5 + 7 + 542 + 41 + 40 = 666.

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, 937270396 + ... + 937280924.

It is an arithmetic number, because the mean of its divisors is an integer number (208164926970).

Almost surely, 29868575424140 is an apocalyptic number.

9868575424140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9868575424140 is an abundant number, since it is smaller than the sum of its proper divisors (20107174059540).

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

9868575424140 is a wasteful number, since it uses less digits than its factorization.

9868575424140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17192 (or 17187 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 9868575424140 in words is "nine trillion, eight hundred sixty-eight billion, five hundred seventy-five million, four hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 907 1814 2721 3628 4535 5442 5741 8163 9070 10529 10884 11482 13605 16326 17223 18140 21058 22964 27210 28705 31587 32652 34446 40815 42116 51669 52645 54420 57410 63174 68892 81630 86115 94761 103338 105290 114820 126348 157935 163260 172230 189522 206676 210580 258345 315870 344460 379044 473805 516690 631740 947610 1033380 1895220 5207087 9549803 10414174 15621261 19099606 20828348 26035435 28649409 31242522 38199212 46863783 47749015 52070870 57298818 60446989 62485044 78106305 85948227 93727566 95498030 104141740 114597636 120893978 143247045 156212610 171896454 181340967 187455132 190996060 234318915 241787956 286494090 302234945 312425220 343792908 362681934 429741135 468637830 544022901 572988180 604469890 725363868 859482270 906704835 937275660 1088045802 1208939780 1718964540 1813409670 2176091604 2720114505 3626819340 5440229010 10880458020 54825419023 109650838046 164476257069 219301676092 274127095115 328952514138 493428771207 548254190230 657905028276 822381285345 986857542414 1096508380460 1644762570690 1973715084828 2467143856035 3289525141380 4934287712070 9868575424140