Search a number
-
+
84000804044800 = 2175225635011
BaseRepresentation
bin10011000110010111110110…
…000101100000000000000000
3102000102101202110111102200011
4103012113312011200000000
542002232121313413200
6454353234152034304
723456600142314416
oct2306276605400000
9360371673442604
1084000804044800
11248465a4a94545
129507b03392994
1337b431b3c88b6
1416a59369d32b6
159aa0c12b95ba
hex4c65f6160000

84000804044800 has 108 divisors (see below), whose sum is σ = 208321207472196. Its totient is φ = 33600320307200.

The previous prime is 84000804044719. The next prime is 84000804044819. The reversal of 84000804044800 is 844040800048.

It is a super-2 number, since 2×840008040448002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9540706 + ... + 16094305.

It is an arithmetic number, because the mean of its divisors is an integer number (1928900069187).

Almost surely, 284000804044800 is an apocalyptic number.

84000804044800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84000804044800 is an abundant number, since it is smaller than the sum of its proper divisors (124320403427396).

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

84000804044800 is an frugal number, since it uses more digits than its factorization.

84000804044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25635055 (or 25635018 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

Adding to 84000804044800 its reverse (844040800048), we get a palindrome (84844844844848).

The spelling of 84000804044800 in words is "eighty-four trillion, eight hundred four million, forty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 4096 5120 6400 8192 10240 12800 16384 20480 25600 32768 40960 51200 65536 81920 102400 131072 163840 204800 327680 409600 655360 819200 1638400 3276800 25635011 51270022 102540044 128175055 205080088 256350110 410160176 512700220 640875275 820320352 1025400440 1281750550 1640640704 2050800880 2563501100 3281281408 4101601760 5127002200 6562562816 8203203520 10254004400 13125125632 16406407040 20508008800 26250251264 32812814080 41016017600 52500502528 65625628160 82032035200 105001005056 131251256320 164064070400 210002010112 262502512640 328128140800 420004020224 525005025280 656256281600 840008040448 1050010050560 1312512563200 1680016080896 2100020101120 2625025126400 3360032161792 4200040202240 5250050252800 8400080404480 10500100505600 16800160808960 21000201011200 42000402022400 84000804044800