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13155011510454 = 232111911712986177
BaseRepresentation
bin1011111101101110001111…
…0010011100000010110110
31201120121101101000011002100
42333123203302130002312
53211012430421313304
643551155011122530
72525263306610322
oct277334362340266
951517341004070
1013155011510454
114212011057920
1215856428a3446
13745687596678
143369c51d2982
1517c2d31e3439
hexbf6e3c9c0b6

13155011510454 has 96 divisors (see below), whose sum is σ = 32758133765760. Its totient is φ = 3773331993600.

The previous prime is 13155011510453. The next prime is 13155011510467. The reversal of 13155011510454 is 45401511055131.

13155011510454 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 50 + 1 + 151 + 0 + 454 = 666.

It is a super-2 number, since 2×131550115104542 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13155011510453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2912214 + ... + 5898390.

It is an arithmetic number, because the mean of its divisors is an integer number (341230560060).

Almost surely, 213155011510454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13155011510454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16379066882880).

13155011510454 is an abundant number, since it is smaller than the sum of its proper divisors (19603122255306).

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

13155011510454 is a wasteful number, since it uses less digits than its factorization.

13155011510454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987386 (or 2987383 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

Adding to 13155011510454 its reverse (45401511055131), we get a palindrome (58556522565585).

The spelling of 13155011510454 in words is "thirteen trillion, one hundred fifty-five billion, eleven million, five hundred ten thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1171 1254 1881 2342 3513 3762 7026 10539 12881 21078 22249 25762 38643 44498 66747 77286 115929 133494 200241 231858 244739 400482 489478 734217 1468434 2202651 2986177 4405302 5972354 8958531 17917062 26875593 32847947 53751186 56737363 65695894 98543841 113474726 170212089 197087682 295631523 340424178 510636267 591263046 624110993 1021272534 1248221986 1872332979 3496813267 3744665958 5616998937 6993626534 10490439801 11233997874 20980879602 31471319403 38464945937 62942638806 66439452073 76929891874 115394837811 132878904146 199318356219 230789675622 346184513433 398636712438 597955068657 692369026866 730833972803 1195910137314 1461667945606 2192501918409 4385003836818 6577505755227 13155011510454