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14066119862608 = 24111929157923869
BaseRepresentation
bin1100110010110000011000…
…0100111110100101010000
31211210201010002002222202211
43030230012010332211100
53320424403141100413
645525515233121504
72651146364043232
oct314540604764520
954721102088684
1014066119862608
114533453a61040
1216b21370b9294
137b05775563c8
14368b37a12252
15195d5aa6383d
hexccb0613e950

14066119862608 has 160 divisors (see below), whose sum is σ = 32580829872000. Its totient is φ = 5811055810560.

The previous prime is 14066119862593. The next prime is 14066119862609. The reversal of 14066119862608 is 80626891166041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14066119862609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14763298 + ... + 15687166.

It is an arithmetic number, because the mean of its divisors is an integer number (203630186700).

Almost surely, 214066119862608 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 14066119862608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16290414936000).

14066119862608 is an abundant number, since it is smaller than the sum of its proper divisors (18514710009392).

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

14066119862608 is a wasteful number, since it uses less digits than its factorization.

14066119862608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924093 (or 924087 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 58.

The spelling of 14066119862608 in words is "fourteen trillion, sixty-six billion, one hundred nineteen million, eight hundred sixty-two thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 19 22 29 38 44 58 76 88 116 152 157 176 209 232 304 314 319 418 464 551 628 638 836 1102 1256 1276 1672 1727 2204 2512 2552 2983 3344 3454 4408 4553 5104 5966 6061 6908 8816 9106 11932 12122 13816 18212 23864 24244 27632 32813 36424 47728 48488 50083 65626 72848 86507 96976 100166 131252 173014 200332 262504 346028 400664 525008 692056 801328 923869 951577 1384112 1847738 1903154 3695476 3806308 7390952 7612616 10162559 14781904 15225232 17553511 20325118 26792201 35107022 40650236 53584402 70214044 81300472 107168804 140428088 145047433 162600944 193088621 214337608 280856176 290094866 294714211 386177242 428675216 509051819 580189732 589428422 772354484 1018103638 1160379464 1178856844 1544708968 1595521763 2036207276 2320758928 2357713688 2755901227 3089417936 3191043526 4072414552 4206375557 4715427376 5511802454 5599570009 6382087052 8144829104 8412751114 11023604908 11199140018 12764174104 16825502228 22047209816 22398280036 25528348208 30314913497 33651004456 44094419632 44796560072 46270131127 60629826994 67302008912 79921135583 89593120144 92540262254 121259653988 159842271166 185080524508 242519307976 319684542332 370161049016 485038615952 639369084664 740322098032 879132491413 1278738169328 1758264982826 3516529965652 7033059931304 14066119862608