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189684210316320 = 25325131725146053
BaseRepresentation
bin101011001000010001001011…
…111110011011010000100000
3220212121122002202101201221200
4223020101023332123100200
5144330241230320110240
61511231420115321200
754645142362626406
oct5310211376332040
9825548082351850
10189684210316320
1155491692736a85
12193360a22b0200
1381ac1b4ca8685
1434baa9c72b476
1516de1c568c930
hexac844bf9b420

189684210316320 has 72 divisors (see below), whose sum is σ = 647297367709356. Its totient is φ = 50582456083968.

The previous prime is 189684210316283. The next prime is 189684210316331. The reversal of 189684210316320 is 23613012486981.

It is a happy number.

189684210316320 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 84 + 210 + 316 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 169529462041104 + 20154748275216 = 13020348^2 + 4489404^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65862571587 + ... + 65862574466.

Almost surely, 2189684210316320 is an apocalyptic number.

189684210316320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189684210316320 is an abundant number, since it is smaller than the sum of its proper divisors (457613157393036).

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

189684210316320 is a wasteful number, since it uses less digits than its factorization.

189684210316320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131725146074 (or 131725146063 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 189684210316320 in words is "one hundred eighty-nine trillion, six hundred eighty-four billion, two hundred ten million, three hundred sixteen 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 96 120 144 160 180 240 288 360 480 720 1440 131725146053 263450292106 395175438159 526900584212 658625730265 790350876318 1053801168424 1185526314477 1317251460530 1580701752636 1975877190795 2107602336848 2371052628954 2634502921060 3161403505272 3951754381590 4215204673696 4742105257908 5269005842120 5927631572385 6322807010544 7903508763180 9484210515816 10538011684240 11855263144770 12645614021088 15807017526360 18968421031632 21076023368480 23710526289540 31614035052720 37936842063264 47421052579080 63228070105440 94842105158160 189684210316320