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82640210217216 = 283163019660073
BaseRepresentation
bin10010110010100100101100…
…010111111100100100000000
3101211121022211100011121101120
4102302210230113330210000
541312434122303422331
6451432215524232240
723256362306514411
oct2262445427744400
9354538740147346
1082640210217216
11243715752728a3
12932828723b680
133715c2782a012
141659b43b77808
159849dc942796
hex4b292c5fc900

82640210217216 has 72 divisors (see below), whose sum is σ = 219945158553120. Its totient is φ = 27546526027776.

The previous prime is 82640210217161. The next prime is 82640210217221. The reversal of 82640210217216 is 61271201204628.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124868556 + ... + 125528628.

Almost surely, 282640210217216 is an apocalyptic number.

It is an amenable number.

82640210217216 is an abundant number, since it is smaller than the sum of its proper divisors (137304948335904).

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

82640210217216 is a wasteful number, since it uses less digits than its factorization.

82640210217216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823111 (or 823097 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 82640210217216 in words is "eighty-two trillion, six hundred forty billion, two hundred ten million, two hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 163019 326038 489057 652076 660073 978114 1304152 1320146 1956228 1980219 2608304 2640292 3912456 3960438 5216608 5280584 7824912 7920876 10433216 10561168 15649824 15841752 20866432 21122336 31299648 31683504 41732864 42244672 62599296 63367008 84489344 125198592 126734016 168978688 253468032 506936064 107604440387 215208880774 322813321161 430417761548 645626642322 860835523096 1291253284644 1721671046192 2582506569288 3443342092384 5165013138576 6886684184768 10330026277152 13773368369536 20660052554304 27546736739072 41320105108608 82640210217216