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12544055044521 = 37112131672273911
BaseRepresentation
bin1011011010001010001111…
…1100011110100110101001
31122102012101202121221212120
42312202203330132212221
53121010211042411041
642402354225501453
72433164243414040
oct266424374364651
948365352557776
1012544055044521
113aa69a4060300
1214a71567a1889
136ccb8ca44b30
143151c7b71557
1516b476535366
hexb68a3f1e9a9

12544055044521 has 96 divisors (see below), whose sum is σ = 22762113798144. Its totient is φ = 5979109910400.

The previous prime is 12544055044511. The next prime is 12544055044531.

12544055044521 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (12544055044511) and next prime (12544055044531).

It is not a de Polignac number, because 12544055044521 - 27 = 12544055044393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12544055044511) 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, 4379556 + ... + 6653466.

It is an arithmetic number, because the mean of its divisors is an integer number (237105352064).

Almost surely, 212544055044521 is an apocalyptic number.

12544055044521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12544055044521 is a deficient number, since it is larger than the sum of its proper divisors (10218058753623).

12544055044521 is a wasteful number, since it uses less digits than its factorization.

12544055044521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274123 (or 2274112 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 42.

It can be divided in two parts, 1254405 and 5044521, that added together give a palindrome (6298926).

The spelling of 12544055044521 in words is "twelve trillion, five hundred forty-four billion, fifty-five million, forty-four thousand, five hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 167 231 273 363 429 501 847 1001 1169 1573 1837 2171 2541 3003 3507 4719 5511 6513 11011 12859 15197 20207 23881 33033 38577 45591 60621 71643 141449 167167 262691 424347 501501 788073 1838837 2273911 5516511 6821733 15917377 25013021 29560843 47752131 75039063 88682529 175091147 206925901 275143231 325169273 379743137 525273441 620777703 825429693 975507819 1139229411 1926002617 2276184911 2658201959 3576862003 4177174507 4936660781 5778007851 6828554733 7974605877 10730586009 12531523521 14809982343 25038034021 29240221549 34556625467 45948919577 54303268591 75114102063 87720664647 103669876401 137846758731 162909805773 321642437039 380122880137 597335954501 964927311117 1140368640411 1792007863503 4181351681507 12544055044521