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16566505136664 = 2337293791901351
BaseRepresentation
bin1111000100010011000010…
…1001110110001000011000
32011122202001020010111121220
43301010300221312020120
54132411200303333124
655122314123132040
73326614304150640
oct361046051661030
964582036114556
1016566505136664
1153078a729742a
121a36849074020
139322a39c2152
14413b74935520
151daded3c9879
hexf1130a76218

16566505136664 has 128 divisors (see below), whose sum is σ = 50288419814400. Its totient is φ = 4446554918400.

The previous prime is 16566505136663. The next prime is 16566505136683. The reversal of 16566505136664 is 46663150566561.

It is a super-2 number, since 2×165665051366642 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16566505136598 and 16566505136607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16566505136663) 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, 45770412 + ... + 46130939.

It is an arithmetic number, because the mean of its divisors is an integer number (392878279800).

Almost surely, 216566505136664 is an apocalyptic number.

16566505136664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16566505136664 is an abundant number, since it is smaller than the sum of its proper divisors (33721914677736).

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

16566505136664 is a wasteful number, since it uses less digits than its factorization.

16566505136664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91901433 (or 91901429 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 60.

The spelling of 16566505136664 in words is "sixteen trillion, five hundred sixty-six billion, five hundred five million, one hundred thirty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 37 42 56 58 74 84 87 111 116 148 168 174 203 222 232 259 296 348 406 444 518 609 696 777 812 888 1036 1073 1218 1554 1624 2072 2146 2436 3108 3219 4292 4872 6216 6438 7511 8584 12876 15022 22533 25752 30044 45066 60088 90132 180264 91901351 183802702 275704053 367605404 551408106 643309457 735210808 1102816212 1286618914 1929928371 2205632424 2573237828 2665139179 3400349987 3859856742 5146475656 5330278358 6800699974 7719713484 7995417537 10201049961 10660556716 13601399948 15439426968 15990835074 18655974253 20402099922 21321113432 23802449909 27202799896 31981670148 37311948506 40804199844 47604899818 55967922759 63963340296 71407349727 74623897012 81608399688 95209799636 98610149623 111935845518 142814699454 149247794024 190419599272 197220299246 223871691036 285629398908 295830448869 394440598492 447743382072 571258797816 591660897738 690271047361 788881196984 1183321795476 1380542094722 2070813142083 2366643590952 2761084189444 4141626284166 5522168378888 8283252568332 16566505136664