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12027416262717 = 3617143320272237
BaseRepresentation
bin1010111100000101100111…
…0111111011100000111101
31120120210212022121112221010
42233001121313323200331
53034024122030401332
641325152503425433
72350644405262422
oct257013167734075
946523768545833
1012027416262717
113917886a20869
121422bb1455279
136932466b704b
142d81b6c19d49
1515ccd9ccc9cc
hexaf059dfb83d

12027416262717 has 32 divisors (see below), whose sum is σ = 16088874003072. Its totient is φ = 7992174654464.

The previous prime is 12027416262703. The next prime is 12027416262739. The reversal of 12027416262717 is 71726261472021.

It is a cyclic number.

It is not a de Polignac number, because 12027416262717 - 224 = 12027399485501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12027416262767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5376581923 + ... + 5376584159.

It is an arithmetic number, because the mean of its divisors is an integer number (502777312596).

Almost surely, 212027416262717 is an apocalyptic number.

It is an amenable number.

12027416262717 is a deficient number, since it is larger than the sum of its proper divisors (4061457740355).

12027416262717 is a wasteful number, since it uses less digits than its factorization.

12027416262717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6317.

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 12027416262717 in words is "twelve trillion, twenty-seven billion, four hundred sixteen million, two hundred sixty-two thousand, seven hundred seventeen".

Divisors: 1 3 617 1433 1851 2027 2237 4299 6081 6711 884161 1250659 1380229 2652483 2904691 3205621 3751977 4140687 4534399 8714073 9616863 13603197 1792194347 1977868157 2797724183 5376583041 5933604471 6497793767 8393172549 19493381301 4009138754239 12027416262717