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12144603516111 = 32111574517172981
BaseRepresentation
bin1011000010111010001011…
…0001110100110011001111
31121000000100022002211110100
42300232202301310303033
53042434122000003421
641455053121142143
72362263411430413
oct260564261646317
947000308084410
1012144603516111
113962552091810
12144185718a953
136a1300c303c1
142ddb32780d43
15160d97d7bc26
hexb0ba2c74ccf

12144603516111 has 48 divisors (see below), whose sum is σ = 19263217398048. Its totient is φ = 7311823084800.

The previous prime is 12144603516047. The next prime is 12144603516121. The reversal of 12144603516111 is 11161530644121.

12144603516111 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 4 + 6 + 0 + 35 + 1 + 611 + 1 = 666.

It is not a de Polignac number, because 12144603516111 - 26 = 12144603516047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144603516121) 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, 70121241 + ... + 70294221.

It is an arithmetic number, because the mean of its divisors is an integer number (401317029126).

Almost surely, 212144603516111 is an apocalyptic number.

12144603516111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12144603516111 is a deficient number, since it is larger than the sum of its proper divisors (7118613881937).

12144603516111 is a wasteful number, since it uses less digits than its factorization.

12144603516111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177672 (or 177669 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12144603516111 in words is "twelve trillion, one hundred forty-four billion, six hundred three million, five hundred sixteen thousand, one hundred eleven".

Divisors: 1 3 9 11 33 99 157 471 1413 1727 4517 5181 13551 15543 40653 49687 149061 172981 447183 518943 709169 1556829 1902791 2127507 5708373 6382521 7800859 17125119 23402577 27158017 70207731 81474051 244422153 298738187 781355177 896214561 2344065531 2688643683 7032196593 8594906947 25784720841 77354162523 122672762789 368018288367 1104054865101 1349400390679 4048201172037 12144603516111