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82161678708 = 223217515326053
BaseRepresentation
bin100110010000100110…
…1111011100101110100
321212001222200201201100
41030201031323211310
52321231342204313
6101424453530100
75636020513614
oct1144115734564
9255058621640
1082161678708
113193214230a
1213b0b943930
137994c39a45
143d95cbca44
15220d16b173
hex132137b974

82161678708 has 72 divisors (see below), whose sum is σ = 219954433608. Its totient is φ = 25770221568.

The previous prime is 82161678679. The next prime is 82161678733. The reversal of 82161678708 is 80787616128.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41767914384 + 40393764324 = 204372^2 + 200982^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3140610 + ... + 3166662.

It is an arithmetic number, because the mean of its divisors is an integer number (3054922689).

Almost surely, 282161678708 is an apocalyptic number.

It is an amenable number.

82161678708 is an abundant number, since it is smaller than the sum of its proper divisors (137792754900).

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

82161678708 is a wasteful number, since it uses less digits than its factorization.

82161678708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31233 (or 31228 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 82161678708 in words is "eighty-two billion, one hundred sixty-one million, six hundred seventy-eight thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 5153 10306 15459 20612 26053 30918 46377 52106 61836 78159 87601 92754 104212 156318 175202 185508 234477 262803 312636 350404 442901 468954 525606 788409 885802 937908 1051212 1328703 1576818 1771604 2657406 3153636 3986109 5314812 7972218 15944436 134251109 268502218 402753327 537004436 805506654 1208259981 1611013308 2282268853 2416519962 4564537706 4833039924 6846806559 9129075412 13693613118 20540419677 27387226236 41080839354 82161678708