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684364534240 = 255127199169243
BaseRepresentation
bin10011111010101110100…
…11100001000111100000
32102102110112121102220111
421331113103201013200
542203034310043430
61242220455021104
7100305122363152
oct11752723410740
92372415542814
10684364534240
11244267a35872
12b077436a794
134c6c608855a
14251a2944ad2
1512c065bbc2a
hex9f574e11e0

684364534240 has 96 divisors (see below), whose sum is σ = 1637740339200. Its totient is φ = 270223962624.

The previous prime is 684364534237. The next prime is 684364534267. The reversal of 684364534240 is 42435463486.

684364534240 is digitally balanced in base 2, 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 15 ways as a sum of consecutive naturals, for example, 3959059 + ... + 4128301.

It is an arithmetic number, because the mean of its divisors is an integer number (17059795200).

Almost surely, 2684364534240 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 684364534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818870169600).

684364534240 is an abundant number, since it is smaller than the sum of its proper divisors (953375804960).

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

684364534240 is a wasteful number, since it uses less digits than its factorization.

684364534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169584 (or 169576 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 49.

The spelling of 684364534240 in words is "six hundred eighty-four billion, three hundred sixty-four million, five hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 199 254 398 508 635 796 995 1016 1270 1592 1990 2032 2540 3184 3980 4064 5080 6368 7960 10160 15920 20320 25273 31840 50546 101092 126365 169243 202184 252730 338486 404368 505460 676972 808736 846215 1010920 1353944 1692430 2021840 2707888 3384860 4043680 5415776 6769720 13539440 21493861 27078880 33679357 42987722 67358714 85975444 107469305 134717428 168396785 171950888 214938610 269434856 336793570 343901776 429877220 538869712 673587140 687803552 859754440 1077739424 1347174280 1719508880 2694348560 3439017760 4277278339 5388697120 8554556678 17109113356 21386391695 34218226712 42772783390 68436453424 85545566780 136872906848 171091133560 342182267120 684364534240