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82344883972320 = 25325307186266929
BaseRepresentation
bin10010101110010001101001…
…100011101110100011100000
3101210120002112112201221100100
4102232101221203232203200
541243114310244103240
6451044414550022400
723226135663041154
oct2256215143564340
9353502475657310
1082344883972320
11242682a6303a22
12929aba7047a00
1336c41210a0498
141649729651064
1597bea5744e30
hex4ae4698ee8e0

82344883972320 has 144 divisors (see below), whose sum is σ = 281917233758160. Its totient is φ = 21887109107712.

The previous prime is 82344883972289. The next prime is 82344883972367. The reversal of 82344883972320 is 2327938844328.

82344883972320 is a `hidden beast` number, since 8 + 2 + 3 + 4 + 4 + 8 + 8 + 397 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 92691385 + ... + 93575544.

It is an arithmetic number, because the mean of its divisors is an integer number (1957758567765).

Almost surely, 282344883972320 is an apocalyptic number.

82344883972320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82344883972320 is an abundant number, since it is smaller than the sum of its proper divisors (199572349785840).

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

82344883972320 is a wasteful number, since it uses less digits than its factorization.

82344883972320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186267257 (or 186267246 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 82344883972320 in words is "eighty-two trillion, three hundred forty-four billion, eight hundred eighty-three million, nine hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 307 360 480 614 720 921 1228 1440 1535 1842 2456 2763 3070 3684 4605 4912 5526 6140 7368 9210 9824 11052 12280 13815 14736 18420 22104 24560 27630 29472 36840 44208 49120 55260 73680 88416 110520 147360 221040 442080 186266929 372533858 558800787 745067716 931334645 1117601574 1490135432 1676402361 1862669290 2235203148 2794003935 2980270864 3352804722 3725338580 4470406296 5588007870 5960541728 6705609444 7450677160 8382011805 8940812592 11176015740 13411218888 14901354320 16764023610 17881625184 22352031480 26822437776 29802708640 33528047220 44704062960 53644875552 57183947203 67056094440 89408125920 114367894406 134112188880 171551841609 228735788812 268224377760 285919736015 343103683218 457471577624 514655524827 571839472030 686207366436 857759208045 914943155248 1029311049654 1143678944060 1372414732872 1715518416090 1829886310496 2058622099308 2287357888120 2573277624135 2744829465744 3431036832180 4117244198616 4574715776240 5146555248270 5489658931488 6862073664360 8234488397232 9149431552480 10293110496540 13724147328720 16468976794464 20586220993080 27448294657440 41172441986160 82344883972320