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12544411444521 = 311739514389283
BaseRepresentation
bin1011011010001011100100…
…1100000010010100101001
31122102020022121020221202120
42312202321030002110221
53121011423312211041
642402453440421453
72433206131645065
oct266427114022451
948366277227676
1012544411444521
113aa7067256960
1214a7236017889
136ccc1882c0c8
1431521d226aa5
1516b497985366
hexb68b9302529

12544411444521 has 16 divisors (see below), whose sum is σ = 18271107367680. Its totient is φ = 7592385802320.

The previous prime is 12544411444519. The next prime is 12544411444547.

12544411444521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12544411444521 - 21 = 12544411444519 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12544411445521) 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, 257170255 + ... + 257219028.

It is an arithmetic number, because the mean of its divisors is an integer number (1141944210480).

Almost surely, 212544411444521 is an apocalyptic number.

12544411444521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12544411444521 is a deficient number, since it is larger than the sum of its proper divisors (5726695923159).

12544411444521 is a wasteful number, since it uses less digits than its factorization.

12544411444521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514390036.

The product of its digits is 409600, while the sum is 42.

It can be divided in two parts, 1254441 and 1444521, that added together give a palindrome (2698962).

The spelling of 12544411444521 in words is "twelve trillion, five hundred forty-four billion, four hundred eleven million, four hundred forty-four thousand, five hundred twenty-one".

Divisors: 1 3 11 33 739 2217 8129 24387 514389283 1543167849 5658282113 16974846339 380133680137 1140401040411 4181470481507 12544411444521