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19685188483974 = 23313611094217413
BaseRepresentation
bin1000111100111010100001…
…01010101011101110000110
32120200212220122001111122000
410132131100222223232012
510040010231222441344
6105511130054450130
74101131215211616
oct436352052535606
976625818044560
1019685188483974
1162aa494786602
12225b155963946
13aca3c79c0780
144c0aa7d5aa46
152420cc1e4a69
hex11e750aabb86

19685188483974 has 128 divisors (see below), whose sum is σ = 48321442646400. Its totient is φ = 5903027228160.

The previous prime is 19685188483951. The next prime is 19685188484023. The reversal of 19685188483974 is 47938488158691.

19685188483974 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 5 + 188 + 48 + 397 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19685188483893 and 19685188483902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2558892 + ... + 6776304.

It is an arithmetic number, because the mean of its divisors is an integer number (377511270675).

Almost surely, 219685188483974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19685188483974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24160721323200).

19685188483974 is an abundant number, since it is smaller than the sum of its proper divisors (28636254162426).

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

19685188483974 is a wasteful number, since it uses less digits than its factorization.

19685188483974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217607 (or 4217601 counting only the distinct ones).

The product of its digits is 3344302080, while the sum is 81.

The spelling of 19685188483974 in words is "nineteen trillion, six hundred eighty-five billion, one hundred eighty-eight million, four hundred eighty-three thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 109 117 122 183 218 234 327 351 366 549 654 702 793 981 1098 1417 1586 1647 1962 2379 2834 2943 3294 4251 4758 5886 6649 7137 8502 12753 13298 14274 19947 21411 25506 38259 39894 42822 59841 76518 86437 119682 172874 179523 259311 359046 518622 777933 1555866 2333799 4217413 4667598 8434826 12652239 25304478 37956717 54826369 75913434 109652738 113870151 164479107 227740302 257262193 328958214 459698017 493437321 514524386 771786579 919396034 986874642 1379094051 1480311963 1543573158 2315359737 2758188102 2960623926 3344408509 4137282153 4630719474 5976074221 6688817018 6946079211 8274564306 10033225527 11952148442 12411846459 13892158422 17928222663 20066451054 24823692918 28041579037 30099676581 35856445326 53784667989 56083158074 60199353162 84124737111 90299029743 107569335978 161354003967 168249474222 180598059486 252374211333 322708007934 364540527481 504748422666 729081054962 757122633999 1093621582443 1514245267998 2187243164886 3280864747329 6561729494658 9842594241987 19685188483974