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12073716453141 = 327414674299827
BaseRepresentation
bin1010111110110010000110…
…0101001000111100010101
31120202020101001120220221200
42233230201211020330111
53040303432403000031
641402331101303113
72354203643353350
oct257544145107425
946666331526850
1012073716453141
1139354861a4152
12142bb73264a99
13697714a9ba25
142da52a019297
1515e0e99478e6
hexafb21948f15

12073716453141 has 24 divisors (see below), whose sum is σ = 20417341648704. Its totient is φ = 6730991749440.

The previous prime is 12073716453109. The next prime is 12073716453173. The reversal of 12073716453141 is 14135461737021.

12073716453141 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 3 + 71 + 6 + 4 + 531 + 41 = 666.

12073716453141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12073716453109) and next prime (12073716453173).

It is not a de Polignac number, because 12073716453141 - 25 = 12073716453109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12073716453541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2337147331 + ... + 2337152496.

It is an arithmetic number, because the mean of its divisors is an integer number (850722568696).

Almost surely, 212073716453141 is an apocalyptic number.

It is an amenable number.

12073716453141 is a deficient number, since it is larger than the sum of its proper divisors (8343625195563).

12073716453141 is a wasteful number, since it uses less digits than its factorization.

12073716453141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674299881 (or 4674299878 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12073716453141 in words is "twelve trillion, seventy-three billion, seven hundred sixteen million, four hundred fifty-three thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 41 63 123 287 369 861 2583 4674299827 14022899481 32720098789 42068698443 98160296367 191646292907 294480889101 574938878721 1341524050349 1724816636163 4024572151047 12073716453141