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82667712568860 = 2235517009817401
BaseRepresentation
bin10010110010111110010011…
…101001000101111000011100
3101211200221211000200211100000
4102302332103221011320130
541313411433404200420
6451453004535134300
723261354660610546
oct2262762351057034
9354627730624300
1082667712568860
11243821a8669731
129331681814390
1337186bb607183
14165b1d25c4696
1598559c157690
hex4b2f93a45e1c

82667712568860 has 72 divisors (see below), whose sum is σ = 260046088441776. Its totient is φ = 22044723350400.

The previous prime is 82667712568829. The next prime is 82667712568871. The reversal of 82667712568860 is 6886521776628.

82667712568860 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 8504903841 + ... + 8504913560.

It is an arithmetic number, because the mean of its divisors is an integer number (3611751228358).

Almost surely, 282667712568860 is an apocalyptic number.

It is an amenable number.

82667712568860 is an abundant number, since it is smaller than the sum of its proper divisors (177378375872916).

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

82667712568860 is a wasteful number, since it uses less digits than its factorization.

82667712568860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17009817425 (or 17009817411 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 82667712568860 in words is "eighty-two trillion, six hundred sixty-seven billion, seven hundred twelve million, five hundred sixty-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 17009817401 34019634802 51029452203 68039269604 85049087005 102058904406 153088356609 170098174010 204117808812 255147261015 306176713218 340196348020 459265069827 510294522030 612353426436 765441783045 918530139654 1020589044060 1377795209481 1530883566090 1837060279308 2296325349135 2755590418962 3061767132180 4133385628443 4592650698270 5511180837924 6888976047405 8266771256886 9185301396540 13777952094810 16533542513772 20666928142215 27555904189620 41333856284430 82667712568860