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138059308568000 = 265337466416583
BaseRepresentation
bin11111011001000001110000…
…000010111000110111000000
3200002211100012120221002222202
4133121001300002320313000
5121043430430443134000
61205343323142252332
741036312240221001
oct3731016002706700
9602740176832882
10138059308568000
113aa98695540416
121359899b1270a8
135c05c245a6c61
14261416b5471a8
1510e638d1d2dd5
hex7d90700b8dc0

138059308568000 has 112 divisors (see below), whose sum is σ = 351144523763904. Its totient is φ = 53731190246400.

The previous prime is 138059308567937. The next prime is 138059308568003. The reversal of 138059308568000 is 865803950831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138059308568003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232912292 + ... + 233504291.

Almost surely, 2138059308568000 is an apocalyptic number.

138059308568000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138059308568000 is an abundant number, since it is smaller than the sum of its proper divisors (213085215195904).

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

138059308568000 is an equidigital number, since it uses as much as digits as its factorization.

138059308568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466416647 (or 466416627 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 56.

The spelling of 138059308568000 in words is "one hundred thirty-eight trillion, fifty-nine billion, three hundred eight million, five hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 148 160 185 200 250 296 320 370 400 500 592 740 800 925 1000 1184 1480 1600 1850 2000 2368 2960 3700 4000 4625 5920 7400 8000 9250 11840 14800 18500 29600 37000 59200 74000 148000 296000 466416583 932833166 1865666332 2332082915 3731332664 4664165830 7462665328 9328331660 11660414575 14925330656 17257413571 18656663320 23320829150 29850661312 34514827142 37313326640 46641658300 58302072875 69029654284 74626653280 86287067855 93283316600 116604145750 138059308568 149253306560 172574135710 186566633200 233208291500 276118617136 345148271420 373133266400 431435339275 466416583000 552237234272 690296542840 746266532800 862870678550 932833166000 1104474468544 1380593085680 1725741357100 1865666332000 2157176696375 2761186171360 3451482714200 3731332664000 4314353392750 5522372342720 6902965428400 8628706785500 13805930856800 17257413571000 27611861713600 34514827142000 69029654284000 138059308568000