Search a number
-
+
12542462320212 = 223211310910187483
BaseRepresentation
bin1011011010000100010100…
…0000101101111001010100
31122102001021202122011212100
42312201011000231321110
53120443430323221322
642401532212122100
72433106623445656
oct266410500557124
948361252564770
1012542462320212
113aa6256aa8a20
1214a6991306330
136cc997a88906
143150b64126d6
1516b3d17c1dac
hexb684502de54

12542462320212 has 72 divisors (see below), whose sum is σ = 34597918162080. Its totient is φ = 3799523286720.

The previous prime is 12542462320159. The next prime is 12542462320229. The reversal of 12542462320212 is 21202326424521.

12542462320212 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 2 + 4 + 623 + 2 + 0 + 21 + 2 = 666.

It is a super-2 number, since 2×125424623202122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 3862578 + ... + 6324905.

It is an arithmetic number, because the mean of its divisors is an integer number (480526641140).

Almost surely, 212542462320212 is an apocalyptic number.

12542462320212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12542462320212 is an abundant number, since it is smaller than the sum of its proper divisors (22055455841868).

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

12542462320212 is a wasteful number, since it uses less digits than its factorization.

12542462320212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10190613 (or 10190608 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 12542462320212 its reverse (21202326424521), we get a palindrome (33744788744733).

The spelling of 12542462320212 in words is "twelve trillion, five hundred forty-two billion, four hundred sixty-two million, three hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 3109 6218 9327 12436 18654 27981 34199 37308 55962 68398 102597 111924 136796 205194 307791 410388 615582 1231164 10187483 20374966 30562449 40749932 61124898 91687347 112062313 122249796 183374694 224124626 336186939 366749388 448249252 672373878 1008560817 1344747756 2017121634 4034243268 31672884647 63345769294 95018653941 126691538588 190037307882 285055961823 348401731117 380074615764 570111923646 696803462234 1045205193351 1140223847292 1393606924468 2090410386702 3135615580053 4180820773404 6271231160106 12542462320212