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66780358205624 = 23726113672042981
BaseRepresentation
bin11110010111100100000111…
…00001110110000010111000
322202110010202222120021100022
433023302003201312002320
532223112133200034444
6354010250102030012
720031502346646200
oct1713620341660270
9282403688507308
1066780358205624
111a307433279438
1275a6592a18308
132b3548c77a0cb
14126c287dab400
157ac19c76b9ee
hex3cbc838760b8

66780358205624 has 96 divisors (see below), whose sum is σ = 148152314921760. Its totient is φ = 28130363654400.

The previous prime is 66780358205581. The next prime is 66780358205647. The reversal of 66780358205624 is 42650285308766.

It is a happy number.

It is a Cunningham number, because it is equal to 81719252-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31666214 + ... + 33709194.

It is an arithmetic number, because the mean of its divisors is an integer number (1543253280435).

Almost surely, 266780358205624 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 66780358205624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74076157460880).

66780358205624 is an abundant number, since it is smaller than the sum of its proper divisors (81371956716136).

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

66780358205624 is a wasteful number, since it uses less digits than its factorization.

66780358205624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044429 (or 2044418 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 62.

The spelling of 66780358205624 in words is "sixty-six trillion, seven hundred eighty billion, three hundred fifty-eight million, two hundred five thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 61 98 122 196 244 392 427 488 854 1367 1708 2734 2989 3416 5468 5978 9569 10936 11956 19138 23912 38276 66983 76552 83387 133966 166774 267932 333548 535864 583709 667096 1167418 2042981 2334836 4085962 4085963 4669672 8171924 8171926 14300867 16343848 16343852 28601734 32687704 57203468 100106069 114406936 124621841 200212138 249243682 400424276 498487364 800848552 872352887 996974728 1744705774 2792755027 3489411548 5585510054 6106470209 6978823096 11171020108 12212940418 19549285189 22342040216 24425880836 39098570378 48851761672 78197140756 136844996323 156394281512 170358056647 273689992646 340716113294 547379985292 681432226588 1094759970584 1192506396529 1362864453176 2385012793058 4770025586116 8347544775703 9540051172232 16695089551406 33390179102812 66780358205624