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12534344343521 = 7111321736738273
BaseRepresentation
bin1011011001100110000100…
…1001000101111111100001
31122101021100000020020100222
42312121201021011333201
53120330314122443041
642354110455452425
72432401511002310
oct266314111057741
948337300206328
1012534344343521
113aa2870680980
1214a52a6687115
136cbca2c79800
143149461d8277
1516b0a8c7074b
hexb6661245fe1

12534344343521 has 96 divisors (see below), whose sum is σ = 17046961650432. Its totient is φ = 8949197537280.

The previous prime is 12534344343497. The next prime is 12534344343553.

12534344343521 is nontrivially palindromic in base 10.

12534344343521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12534344343521 - 222 = 12534340149217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12534344343421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1515086441 + ... + 1515094713.

It is an arithmetic number, because the mean of its divisors is an integer number (177572517192).

Almost surely, 212534344343521 is an apocalyptic number.

12534344343521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12534344343521 is a deficient number, since it is larger than the sum of its proper divisors (4512617306911).

12534344343521 is a wasteful number, since it uses less digits than its factorization.

12534344343521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9163 (or 9150 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

It can be divided in two parts, 1253434 and 4343521, that added together give a palindrome (5596955).

The spelling of 12534344343521 in words is "twelve trillion, five hundred thirty-four billion, three hundred forty-four million, three hundred forty-three thousand, five hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 169 173 673 1001 1183 1211 1859 1903 2249 4711 7403 8273 8749 13013 13321 15743 24739 29237 51821 57911 61243 91003 96239 107549 113737 116429 173173 204659 321607 637021 673673 752843 796159 815003 1183039 1251107 1280719 1398137 1431229 1513577 2251249 5567729 8281273 8757749 8965033 9786959 10018603 10595039 15379507 15743519 16649347 18605977 19676501 38974103 61245019 72380477 107656549 110204633 116545429 130241839 137735507 204665747 216441511 241877701 428715133 506663339 796185247 940946201 963217117 1432660229 1515090577 1693143907 2660654711 5573296729 6586623407 6742519819 10350408211 10595388287 12521822521 18624582977 72452857477 74167718009 87652757647 137740047731 162783692773 964180334117 1139485849411 1790620620503 12534344343521