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52530584501682 = 2337834613631963
BaseRepresentation
bin10111111000110101110101…
…10101000011110110110010
320212222212121202100111022000
423330122322311003312302
523341130114113023212
6303420114541354430
714031131565654120
oct1374327265036662
9225885552314260
1052530584501682
1115813106533141
125a84942568a16
1323407c75ca691
14cd86cb1d6910
156116938551dc
hex2fc6bad43db2

52530584501682 has 128 divisors (see below), whose sum is σ = 135311288555520. Its totient is φ = 14795741517120.

The previous prime is 52530584501663. The next prime is 52530584501699. The reversal of 52530584501682 is 28610548503525.

52530584501682 is a `hidden beast` number, since 5 + 2 + 5 + 3 + 0 + 58 + 4 + 501 + 6 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12647433 + ... + 16279395.

It is an arithmetic number, because the mean of its divisors is an integer number (1057119441840).

Almost surely, 252530584501682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52530584501682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67655644277760).

52530584501682 is an abundant number, since it is smaller than the sum of its proper divisors (82780704053838).

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

52530584501682 is a wasteful number, since it uses less digits than its factorization.

52530584501682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632525 (or 3632519 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 52530584501682 in words is "fifty-two trillion, five hundred thirty billion, five hundred eighty-four million, five hundred one thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 83 126 166 189 249 378 461 498 581 747 922 1162 1383 1494 1743 2241 2766 3227 3486 4149 4482 5229 6454 8298 9681 10458 12447 15687 19362 24894 29043 31374 38263 58086 76526 87129 114789 174258 229578 267841 344367 535682 688734 803523 1033101 1607046 2066202 2410569 3631963 4821138 7231707 7263926 10895889 14463414 21791778 25423741 32687667 50847482 65375334 76271223 98063001 152542446 196126002 228813669 301452929 457627338 602905858 686441007 904358787 1372882014 1674334943 1808717574 2110170503 2713076361 3348669886 4220341006 5023004829 5426152722 6330511509 8139229083 10046009658 11720344601 12661023018 15069014487 16278458166 18991534527 23440689202 30138028974 35161033803 37983069054 45207043461 56974603581 70322067606 90414086922 105483101409 113949207162 138969800269 210966202818 277939600538 316449304227 416909400807 632898608454 833818801614 972788601883 1250728202421 1945577203766 2501456404842 2918365805649 3752184607263 5836731611298 7504369214526 8755097416947 17510194833894 26265292250841 52530584501682