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38674798667376 = 2433737376176717
BaseRepresentation
bin10001100101100101011011…
…01000101110011001110000
312001221021102012211012211120
420302302231220232121300
520032121441424324001
6214130542432342240
711101106364423144
oct1062625550563160
9161837365735746
1038674798667376
1111360987663763
1244075279a4980
1318770303340b1
14979c27d39224
15471048605236
hex232cada2e670

38674798667376 has 160 divisors (see below), whose sum is σ = 103021798617408. Its totient is φ = 12492948971520.

The previous prime is 38674798667279. The next prime is 38674798667377. The reversal of 38674798667376 is 67376689747683.

It is a junction number, because it is equal to n+sod(n) for n = 38674798667292 and 38674798667301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38674798667377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504084570 + ... + 504161286.

Almost surely, 238674798667376 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 38674798667376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51510899308704).

38674798667376 is an abundant number, since it is smaller than the sum of its proper divisors (64346999950032).

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

38674798667376 is a wasteful number, since it uses less digits than its factorization.

38674798667376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77899 (or 77893 counting only the distinct ones).

The product of its digits is 64524128256, while the sum is 87.

The spelling of 38674798667376 in words is "thirty-eight trillion, six hundred seventy-four billion, seven hundred ninety-eight million, six hundred sixty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 373 444 592 746 761 888 1119 1492 1522 1776 2238 2283 2984 3044 4476 4566 5968 6088 8952 9132 12176 13801 17904 18264 27602 28157 36528 41403 55204 56314 76717 82806 84471 110408 112628 153434 165612 168942 220816 225256 230151 283853 306868 331224 337884 450512 460302 567706 613736 662448 675768 851559 920604 1135412 1227472 1351536 1703118 1841208 2270824 2838529 3406236 3682416 4541648 5677058 6812472 8515587 10502561 11354116 13624944 17031174 21005122 22708232 28615441 31507683 34062348 42010244 45416464 57230882 58381637 63015366 68124696 84020488 85846323 114461764 116763274 126030732 136249392 168040976 171692646 175144911 228923528 233526548 252061464 343385292 350289822 457847056 467053096 504122928 686770584 700579644 934106192 1058771317 1373541168 1401159288 2117542634 2160120569 2802318576 3176313951 4235085268 4320241138 6352627902 6480361707 8470170536 8640482276 12705255804 12960723414 16940341072 17280964552 21776350601 25410511608 25921446828 34561929104 43552701202 50821023216 51842893656 65329051803 87105402404 103685787312 130658103606 174210804808 261316207212 348421609616 522632414424 805724972237 1045264828848 1611449944474 2417174916711 3222899888948 4834349833422 6445799777896 9668699666844 12891599555792 19337399333688 38674798667376