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13678000112358 = 235414091678337
BaseRepresentation
bin1100011100001010100001…
…0101101000001011100110
31210102121022100022211200000
43013002220111220023212
53243100021012043413
645031330404002130
72611126410434661
oct307025025501346
953377270284600
1013678000112358
1143a389752a16a
12164aa7a690346
13782aa331255a
143540395b86d8
1518abe2134073
hexc70a85682e6

13678000112358 has 96 divisors (see below), whose sum is σ = 31559870553120. Its totient is φ = 4437251850240.

The previous prime is 13678000112321. The next prime is 13678000112363. The reversal of 13678000112358 is 85321100087631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7310566 + ... + 8988902.

It is an arithmetic number, because the mean of its divisors is an integer number (328748651595).

Almost surely, 213678000112358 is an apocalyptic number.

13678000112358 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13678000112358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15779935276560).

13678000112358 is an abundant number, since it is smaller than the sum of its proper divisors (17881870440762).

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

13678000112358 is a wasteful number, since it uses less digits than its factorization.

13678000112358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678804 (or 1678792 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

Adding to 13678000112358 its reverse (85321100087631), we get a palindrome (98999100199989).

The spelling of 13678000112358 in words is "thirteen trillion, six hundred seventy-eight billion, one hundred twelve thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 409 486 738 818 1107 1227 2214 2454 3321 3681 6642 7362 9963 11043 16769 19926 22086 33129 33538 50307 66258 99387 100614 150921 198774 301842 452763 905526 1358289 1678337 2716578 3356674 4074867 5035011 8149734 10070022 15105033 30210066 45315099 68811817 90630198 135945297 137623634 206435451 271890594 407835891 412870902 619306353 686439833 815671782 1238612706 1372879666 1857919059 2059319499 3715838118 4118638998 5573757177 6177958497 11147514354 12355916994 16721271531 18533875491 28144033153 33442543062 37067750982 55601626473 56288066306 84432099459 111203252946 166804879419 168864198918 253296298377 333609758838 506592596754 759888895131 1519777790262 2279666685393 4559333370786 6839000056179 13678000112358