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19975193490192 = 24317194093150097
BaseRepresentation
bin1001000101010110101100…
…10011111111001100010000
32121201121110120122020111020
410202223112103333030100
510104233144013141232
6110252251024315440
74131105626122563
oct442532623771420
977647416566436
1019975193490192
116401482a78066
1222a73aba72b80
13b1b863b95775
144d0b398804da
15249902183e2c
hex122ad64ff310

19975193490192 has 160 divisors (see below), whose sum is σ = 57654353635200. Its totient is φ = 5922382086144.

The previous prime is 19975193490181. The next prime is 19975193490223. The reversal of 19975193490192 is 29109439157991.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4766088 + ... + 7916184.

It is an arithmetic number, because the mean of its divisors is an integer number (360339710220).

Almost surely, 219975193490192 is an apocalyptic number.

19975193490192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19975193490192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28827176817600).

19975193490192 is an abundant number, since it is smaller than the sum of its proper divisors (37679160145008).

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

19975193490192 is a wasteful number, since it uses less digits than its factorization.

19975193490192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150553 (or 3150547 counting only the distinct ones).

The product of its (nonzero) digits is 49601160, while the sum is 69.

The spelling of 19975193490192 in words is "nineteen trillion, nine hundred seventy-five billion, one hundred ninety-three million, four hundred ninety thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 409 456 646 816 818 912 969 1227 1292 1636 1938 2454 2584 3272 3876 4908 5168 6544 6953 7752 7771 9816 13906 15504 15542 19632 20859 23313 27812 31084 41718 46626 55624 62168 83436 93252 111248 124336 132107 166872 186504 264214 333744 373008 396321 528428 792642 1056856 1585284 2113712 3150097 3170568 6300194 6341136 9450291 12600388 18900582 25200776 37801164 50401552 53551649 59851843 75602328 107103298 119703686 151204656 160654947 179555529 214206596 239407372 321309894 359111058 428413192 478814744 642619788 718222116 856826384 957629488 1017481331 1285239576 1288389673 1436444232 2034962662 2570479152 2576779346 2872888464 3052443993 3865169019 4069925324 5153558692 6104887986 7730338038 8139850648 10307117384 12209775972 15460676076 16279701296 20614234768 21902624441 24419551944 24479403787 30921352152 43805248882 48839103888 48958807574 61842704304 65707873323 73438211361 87610497764 97917615148 131415746646 146876422722 175220995528 195835230296 262831493292 293752845444 350441991056 391670460592 416149864379 525662986584 587505690888 832299728758 1051325973168 1175011381776 1248449593137 1664599457516 2496899186274 3329198915032 4993798372548 6658397830064 9987596745096 19975193490192