Search a number
-
+
8080294943232 = 293212377141677
BaseRepresentation
bin111010110010101011100…
…0111000001101000000000
31001121110122122111010220200
41311211113013001220000
52024341421001140412
625104011455205200
71462532145526521
oct165452707015000
931543578433820
108080294943232
11263591992a556
12aa6022516800
13467c78b761a5
141dd134672848
15e02c12949dc
hex759571c1a00

8080294943232 has 120 divisors (see below), whose sum is σ = 23322327086916. Its totient is φ = 2693195022336.

The previous prime is 8080294943173. The next prime is 8080294943249. The reversal of 8080294943232 is 2323494920808.

8080294943232 is a `hidden beast` number, since 8 + 0 + 80 + 294 + 9 + 43 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6412725616896 + 1667569326336 = 2532336^2 + 1291344^2 .

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, 56962378 + ... + 57104054.

Almost surely, 28080294943232 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 8080294943232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11661163543458).

8080294943232 is an abundant number, since it is smaller than the sum of its proper divisors (15242032143684).

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

8080294943232 is a wasteful number, since it uses less digits than its factorization.

8080294943232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154078 (or 154059 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 8080294943232 in words is "eight trillion, eighty billion, two hundred ninety-four million, nine hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 12377 24754 37131 49508 74262 99016 111393 141677 148524 198032 222786 283354 297048 396064 425031 445572 566708 594096 792128 850062 891144 1133416 1188192 1275093 1584256 1700124 1782288 2266832 2376384 2550186 3168512 3400248 3564576 4533664 4752768 5100372 6337024 6800496 7129152 9067328 9505536 10200744 13600992 14258304 18134656 19011072 20401488 27201984 28516608 36269312 40802976 54403968 57033216 72538624 81605952 108807936 163211904 217615872 326423808 652847616 1753536229 3507072458 5260608687 7014144916 10521217374 14028289832 15781826061 21042434748 28056579664 31563652122 42084869496 56113159328 63127304244 84169738992 112226318656 126254608488 168339477984 224452637312 252509216976 336678955968 448905274624 505018433952 673357911936 897810549248 1010036867904 1346715823872 2020073735808 2693431647744 4040147471616 8080294943232