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2003832706968 = 233397257372137
BaseRepresentation
bin11101001010001101101…
…111001001011110011000
321002120020112202112112000
4131022031233021132120
5230312322133110333
64132314213121000
7264525561655611
oct35121557113630
97076215675460
102003832706968
11702903361304
12284433629160
13116c64610911
146cdb38d6c08
15371ce709713
hex1d28dbc9798

2003832706968 has 128 divisors (see below), whose sum is σ = 5645482315200. Its totient is φ = 658484232192.

The previous prime is 2003832706919. The next prime is 2003832707021. The reversal of 2003832706968 is 8696072383002.

It is a happy number.

2003832706968 is a `hidden beast` number, since 200 + 3 + 83 + 270 + 6 + 96 + 8 = 666.

It is a super-3 number, since 3×20038327069683 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 5198596 + ... + 5570732.

Almost surely, 22003832706968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003832706968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822741157600).

2003832706968 is an abundant number, since it is smaller than the sum of its proper divisors (3641649608232).

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

2003832706968 is a wasteful number, since it uses less digits than its factorization.

2003832706968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372506 (or 372496 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2003832706968 in words is "two trillion, three billion, eight hundred thirty-two million, seven hundred six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 257 291 388 514 582 771 776 873 1028 1164 1542 1746 2056 2313 2328 2619 3084 3492 4626 5238 6168 6939 6984 9252 10476 13878 18504 20952 24929 27756 49858 55512 74787 99716 149574 199432 224361 299148 372137 448722 598296 673083 744274 897444 1116411 1346166 1488548 1794888 2232822 2692332 2977096 3349233 4465644 5384664 6698466 8931288 10047699 13396932 20095398 26793864 36097289 40190796 72194578 80381592 95639209 108291867 144389156 191278418 216583734 286917627 288778312 324875601 382556836 433167468 573835254 649751202 765113672 860752881 866334936 974626803 1147670508 1299502404 1721505762 1949253606 2295341016 2582258643 2599004808 3443011524 3898507212 5164517286 6886023048 7797014424 9277003273 10329034572 18554006546 20658069144 27831009819 37108013092 55662019638 74216026184 83493029457 111324039276 166986058914 222648078552 250479088371 333972117828 500958176742 667944235656 1001916353484 2003832706968