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13138886067948 = 2233533835993219
BaseRepresentation
bin1011111100110010001010…
…1000110000011011101100
31201112001202120010210112000
42333030202220300123230
53210231414313133243
643535530531012300
72524152562610364
oct277144250603354
951461676123460
1013138886067948
114206196723233
1215824a243a090
13743cb782c204
14335cd57299a4
1517bb8c6be5d3
hexbf322a306ec

13138886067948 has 96 divisors (see below), whose sum is σ = 34797114777600. Its totient is φ = 4285774164672.

The previous prime is 13138886067947. The next prime is 13138886068031. The reversal of 13138886067948 is 84976068883131.

13138886067948 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 8 + 8 + 8 + 606 + 7 + 9 + 4 + 8 = 666.

13138886067948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13138886067947) 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, 804318 + ... + 5188901.

It is an arithmetic number, because the mean of its divisors is an integer number (362469945600).

Almost surely, 213138886067948 is an apocalyptic number.

13138886067948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13138886067948 is an abundant number, since it is smaller than the sum of its proper divisors (21658228709652).

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

13138886067948 is a wasteful number, since it uses less digits than its factorization.

13138886067948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5993668 (or 5993660 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 13138886067948 in words is "thirteen trillion, one hundred thirty-eight billion, eight hundred eighty-six million, sixty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 383 477 636 766 954 1149 1431 1532 1908 2298 2862 3447 4596 5724 6894 10341 13788 20299 20682 40598 41364 60897 81196 121794 182691 243588 365382 548073 730764 1096146 2192292 5993219 11986438 17979657 23972876 35959314 53938971 71918628 107877942 161816913 215755884 317640607 323633826 635281214 647267652 952921821 1270562428 1905843642 2295402877 2858765463 3811687284 4590805754 5717530926 6886208631 8576296389 9181611508 11435061852 13772417262 17152592778 20658625893 27544834524 34305185556 41317251786 61975877679 82634503572 121656352481 123951755358 243312704962 247903510716 364969057443 486625409924 729938114886 1094907172329 1459876229772 2189814344658 3284721516987 4379628689316 6569443033974 13138886067948