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12547527104144 = 2419191307703903
BaseRepresentation
bin1011011010010111001011…
…1001010101011010010000
31122102112100201220212021102
42312211302321111122100
53121034313414313034
642404130540043532
72433346263423614
oct266456271253220
948375321825242
1012547527104144
113aa8415a3406a
1214a79655335a8
137002c417aa96
14315436d39344
1516b5cb27397e
hexb6972e55690

12547527104144 has 80 divisors (see below), whose sum is σ = 25808161505280. Its totient is φ = 5893180168320.

The previous prime is 12547527104143. The next prime is 12547527104183. The reversal of 12547527104144 is 44140172574521.

12547527104144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12547527104143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17473697 + ... + 18177599.

It is an arithmetic number, because the mean of its divisors is an integer number (322602018816).

Almost surely, 212547527104144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12547527104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12904080752640).

12547527104144 is an abundant number, since it is smaller than the sum of its proper divisors (13260634401136).

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

12547527104144 is a wasteful number, since it uses less digits than its factorization.

12547527104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704428 (or 704422 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 47.

Adding to 12547527104144 its reverse (44140172574521), we get a palindrome (56687699678665).

The spelling of 12547527104144 in words is "twelve trillion, five hundred forty-seven billion, five hundred twenty-seven million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 191 304 307 382 614 764 1228 1528 2456 3056 3629 4912 5833 7258 11666 14516 23332 29032 46664 58064 58637 93328 117274 234548 469096 703903 938192 1114103 1407806 2228206 2815612 4456412 5631224 8912824 11262448 13374157 17825648 26748314 53496628 106993256 134445473 213986512 216098221 268890946 432196442 537781892 864392884 1075563784 1728785768 2151127568 2554463987 3457571536 4105866199 5108927974 8211732398 10217855948 16423464796 20435711896 32846929592 40871423792 41274760211 65693859184 82549520422 165099040844 330198081688 660396163376 784220444009 1568440888018 3136881776036 6273763552072 12547527104144