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13772666627730 = 234523993174441
BaseRepresentation
bin1100100001101011001011…
…1001101110011010010010
31210202122122211002002110000
43020122302321232122102
53301122410124041410
645143024203550430
72621020342515423
oct310326271563222
953678584062400
1013772666627730
11442aa5629332a
12166529a22b416
1378b9abb7051a
1435885a16964a
1518d3d2ee1dc0
hexc86b2e6e692

13772666627730 has 160 divisors (see below), whose sum is σ = 38647718448768. Its totient is φ = 3512627078400.

The previous prime is 13772666627729. The next prime is 13772666627743. The reversal of 13772666627730 is 3772666627731.

It is a happy number.

13772666627730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 184977310 + ... + 185051750.

Almost surely, 213772666627730 is an apocalyptic number.

13772666627730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13772666627730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19323859224384).

13772666627730 is an abundant number, since it is smaller than the sum of its proper divisors (24875051821038).

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

13772666627730 is a wasteful number, since it uses less digits than its factorization.

13772666627730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84414 (or 84405 counting only the distinct ones).

The product of its (nonzero) digits is 112021056, while the sum is 63.

Subtracting from 13772666627730 its reverse (3772666627731), we obtain a palindrome (9999999999999).

The spelling of 13772666627730 in words is "thirteen trillion, seven hundred seventy-two billion, six hundred sixty-six million, six hundred twenty-seven thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 270 345 405 414 621 690 810 1035 1242 1863 2070 3105 3726 6210 9315 9931 18630 19862 29793 49655 59586 74441 89379 99310 148882 148965 178758 223323 228413 268137 297930 372205 446646 446895 456826 536274 669969 685239 744410 804411 893790 1116615 1142065 1339938 1340685 1370478 1608822 1712143 2009907 2055717 2233230 2284130 2681370 3349845 3424286 3426195 4019814 4022055 4111434 5136429 6029721 6167151 6699690 6852390 8044110 8560715 10049535 10272858 10278585 12059442 12334302 15409287 17121430 18501453 20099070 20557170 25682145 30148605 30818574 30835755 37002906 46227861 51364290 60297210 61671510 77046435 92455722 92507265 138683583 154092870 185014530 231139305 277367166 462278610 693417915 739273571 1386835830 1478547142 2217820713 3696367855 4435641426 6653462139 7392735710 11089103565 13306924278 17003292133 19960386417 22178207130 33267310695 34006584266 39920772834 51009876399 59881159251 66534621390 85016460665 99801932085 102019752798 119762318502 153029629197 170032921330 199603864170 255049381995 299405796255 306059258394 459088887591 510098763990 598811592510 765148145985 918177775182 1377266662773 1530296291970 2295444437955 2754533325546 4590888875910 6886333313865 13772666627730