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135544244513112 = 23329790072154749
BaseRepresentation
bin11110110100011011011010…
…100010111010100101011000
3122202220220101110012021022100
4132310123122202322211120
5120231224103043404422
61200140055531123400
740356514510411011
oct3664333242724530
9582826343167270
10135544244513112
113a208a9a43a7a6
12132514712a3560
135a829c900c296
14256853ad38008
1510a0c3bd587ac
hex7b46da8ba958

135544244513112 has 96 divisors (see below), whose sum is σ = 370924870680000. Its totient is φ = 44710641764352.

The previous prime is 135544244513009. The next prime is 135544244513131. The reversal of 135544244513112 is 211315442445531.

135544244513112 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 44 + 244 + 51 + 311 + 2 = 666.

It is a congruent number.

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, 61827514 + ... + 63982262.

It is an arithmetic number, because the mean of its divisors is an integer number (3863800736250).

Almost surely, 2135544244513112 is an apocalyptic number.

135544244513112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135544244513112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185462435340000).

135544244513112 is an abundant number, since it is smaller than the sum of its proper divisors (235380626166888).

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

135544244513112 is a wasteful number, since it uses less digits than its factorization.

135544244513112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163865 (or 2163858 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

Adding to 135544244513112 its reverse (211315442445531), we get a palindrome (346859686958643).

The spelling of 135544244513112 in words is "one hundred thirty-five trillion, five hundred forty-four billion, two hundred forty-four million, five hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 9007 18014 27021 36028 54042 72056 81063 108084 162126 216168 324252 648504 873679 1747358 2154749 2621037 3494716 4309498 5242074 6464247 6989432 7863111 8618996 10484148 12928494 15726222 17237992 19392741 20968296 25856988 31452444 38785482 51713976 62904888 77570964 155141928 209010653 418021306 627031959 836042612 1254063918 1672085224 1881095877 2508127836 3762191754 5016255672 7524383508 15048767016 19407824243 38815648486 58223472729 77631296972 116446945458 155262593944 174670418187 232893890916 349340836374 465787781832 698681672748 1397363345496 1882558951571 3765117903142 5647676854713 7530235806284 11295353709426 15060471612568 16943030564139 22590707418852 33886061128278 45181414837704 67772122256556 135544244513112