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12105857895927 = 3232373158312919
BaseRepresentation
bin1011000000101001110101…
…0111000000110111110111
31120212022100001101101120120
42300022131113000313313
53041320244110132202
641425204312103023
72356422305203545
oct260123527006767
946768301341516
1012105857895927
11394807a201904
121436243394a73
1369a767a02123
142dbcd8a1ad95
1515ed7b5730bc
hexb029d5c0df7

12105857895927 has 48 divisors (see below), whose sum is σ = 16930680560640. Its totient is φ = 7693522208064.

The previous prime is 12105857895919. The next prime is 12105857895941. The reversal of 12105857895927 is 72959875850121.

It is not a de Polignac number, because 12105857895927 - 23 = 12105857895919 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105857895907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 937051974 + ... + 937064892.

It is an arithmetic number, because the mean of its divisors is an integer number (352722511680).

Almost surely, 212105857895927 is an apocalyptic number.

12105857895927 is a deficient number, since it is larger than the sum of its proper divisors (4824822664713).

12105857895927 is a wasteful number, since it uses less digits than its factorization.

12105857895927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14924 (or 14901 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 69.

The spelling of 12105857895927 in words is "twelve trillion, one hundred five billion, eight hundred fifty-seven million, eight hundred ninety-five thousand, nine hundred twenty-seven".

Divisors: 1 3 23 69 373 529 1119 1583 1587 4749 8579 12919 25737 36409 38757 109227 197317 297137 590459 591951 837407 891411 1771377 2512221 4818787 6834151 13580557 14456361 20450777 20502453 40741671 61352331 110832101 312352811 332496303 470367871 937058433 1411103613 2549138323 7628139821 7647414969 10818461033 22884419463 32455383099 175447215883 526341647649 4035285965309 12105857895927