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82952259984 = 243211233322447
BaseRepresentation
bin100110101000001010…
…1110000100110010000
321221010002022102100100
41031100111300212100
52324341234304414
6102035134452400
75664430401366
oct1152025604620
9257102272310
1082952259984
11321a842a770
12140b0664100
137a8c972809
14402ccb5636
152257782609
hex1350570990

82952259984 has 120 divisors (see below), whose sum is σ = 253375604352. Its totient is φ = 25125154560.

The previous prime is 82952259967. The next prime is 82952259991. The reversal of 82952259984 is 48995225928.

82952259984 is a `hidden beast` number, since 8 + 29 + 522 + 5 + 9 + 9 + 84 = 666.

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, 3684249 + ... + 3706695.

Almost surely, 282952259984 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 82952259984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126687802176).

82952259984 is an abundant number, since it is smaller than the sum of its proper divisors (170423344368).

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

82952259984 is a wasteful number, since it uses less digits than its factorization.

82952259984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24805 (or 24796 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 82952259984 in words is "eighty-two billion, nine hundred fifty-two million, two hundred fifty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 2333 4666 6999 9332 13998 18664 20997 22447 25663 27996 37328 41994 44894 51326 55992 67341 76989 83988 89788 102652 111984 134682 153978 167976 179576 202023 205304 230967 246917 269364 307956 335952 359152 404046 410608 461934 493834 538728 615912 740751 808092 923868 987668 1077456 1231824 1481502 1616184 1847736 1975336 2222253 2963004 3232368 3695472 3950672 4444506 5926008 8889012 11852016 17778024 35556048 52368851 104737702 157106553 209475404 314213106 418950808 471319659 576057361 628426212 837901616 942639318 1152114722 1256852424 1728172083 1885278636 2304229444 2513704848 3456344166 3770557272 4608458888 5184516249 6912688332 7541114544 9216917776 10369032498 13825376664 20738064996 27650753328 41476129992 82952259984