Search a number
-
+
12135523544000 = 26532963511961
BaseRepresentation
bin1011000010011000010110…
…0100011110101111000000
31120222010220111112110022222
42300212011210132233000
53042312023011402000
641450552121550212
72361522405100463
oct260460544365700
946863814473288
1012135523544000
11395971273932a
12143bb42345368
136a04b4a2c63c
142dd5108ad2da
15160a15b54a85
hexb098591ebc0

12135523544000 has 112 divisors (see below), whose sum is σ = 30063825750816. Its totient is φ = 4852561664000.

The previous prime is 12135523543999. The next prime is 12135523544009. The reversal of 12135523544000 is 44532553121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135523544009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23448020 + ... + 23959980.

Almost surely, 212135523544000 is an apocalyptic number.

12135523544000 is a gapful number since it is divisible by the number (10) 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 12135523544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15031912875408).

12135523544000 is an abundant number, since it is smaller than the sum of its proper divisors (17928302206816).

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

12135523544000 is an equidigital number, since it uses as much as digits as its factorization.

12135523544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514951 (or 514931 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 12135523544000 in words is "twelve trillion, one hundred thirty-five billion, five hundred twenty-three million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 2963 4000 5926 8000 11852 14815 23704 29630 47408 59260 74075 94816 118520 148150 189632 237040 296300 370375 474080 511961 592600 740750 948160 1023922 1185200 1481500 2047844 2370400 2559805 2963000 4095688 4740800 5119610 5926000 8191376 10239220 11852000 12799025 16382752 20478440 23704000 25598050 32765504 40956880 51196100 63995125 81913760 102392200 127990250 163827520 204784400 255980500 409568800 511961000 819137600 1023922000 1516940443 2047844000 3033880886 4095688000 6067761772 7584702215 12135523544 15169404430 24271047088 30338808860 37923511075 48542094176 60677617720 75847022150 97084188352 121355235440 151694044300 189617555375 242710470880 303388088600 379235110750 485420941760 606776177200 758470221500 1213552354400 1516940443000 2427104708800 3033880886000 6067761772000 12135523544000