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13838058243564 = 22317212731418999
BaseRepresentation
bin1100100101011110110010…
…0010111100010111101100
31210222220110001221100200120
43021113230202330113230
53303210320402243224
645233041033124540
72625523661212632
oct311275442742754
953886401840616
1013838058243564
114455762137145
121675aa9859750
13794c00623629
1435baa0b01352
1518ee5dc55779
hexc95ec8bc5ec

13838058243564 has 72 divisors (see below), whose sum is σ = 34569948672000. Its totient is φ = 4307167597824.

The previous prime is 13838058243517. The next prime is 13838058243623. The reversal of 13838058243564 is 46534285083831.

It is a junction number, because it is equal to n+sod(n) for n = 13838058243498 and 13838058243507.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15269064 + ... + 16149935.

It is an arithmetic number, because the mean of its divisors is an integer number (480138176000).

Almost surely, 213838058243564 is an apocalyptic number.

It is an amenable number.

13838058243564 is an abundant number, since it is smaller than the sum of its proper divisors (20731890428436).

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

13838058243564 is a wasteful number, since it uses less digits than its factorization.

13838058243564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31419167 (or 31419148 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 60.

The spelling of 13838058243564 in words is "thirteen trillion, eight hundred thirty-eight billion, fifty-eight million, two hundred forty-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 127 204 254 289 381 508 578 762 867 1156 1524 1734 2159 3468 4318 6477 8636 12954 25908 36703 73406 110109 146812 220218 440436 31418999 62837998 94256997 125675996 188513994 377027988 534122983 1068245966 1602368949 2136491932 3204737898 3990212873 6409475796 7980425746 9080090711 11970638619 15960851492 18160181422 23941277238 27240272133 36320362844 47882554476 54480544266 67833618841 108961088532 135667237682 203500856523 271334475364 407001713046 814003426092 1153171520297 2306343040594 3459514560891 4612686081188 6919029121782 13838058243564