Search a number
-
+
84004408080 = 24325125992671
BaseRepresentation
bin100111000111100001…
…1011000101100010000
322000211102010002012100
41032033003120230100
52334020112024310
6102331402000400
76032464454505
oct1161703305420
9260742102170
1084004408080
113269833114a
1214344aa6100
137bc993aa58
1440cc9194ac
1522b9d14ec0
hex138f0d8b10

84004408080 has 120 divisors (see below), whose sum is σ = 282341928960. Its totient is φ = 22383141120.

The previous prime is 84004408021. The next prime is 84004408091. The reversal of 84004408080 is 8080440048.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 860145 + ... + 952815.

It is an arithmetic number, because the mean of its divisors is an integer number (2352849408).

Almost surely, 284004408080 is an apocalyptic number.

84004408080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84004408080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141170964480).

84004408080 is an abundant number, since it is smaller than the sum of its proper divisors (198337520880).

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

84004408080 is a wasteful number, since it uses less digits than its factorization.

84004408080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93949 (or 93940 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 84004408080 in words is "eighty-four billion, four million, four hundred eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1259 2518 3777 5036 6295 7554 10072 11331 12590 15108 18885 20144 22662 25180 30216 37770 45324 50360 56655 60432 75540 90648 92671 100720 113310 151080 181296 185342 226620 278013 302160 370684 453240 463355 556026 741368 834039 906480 926710 1112052 1390065 1482736 1668078 1853420 2224104 2780130 3336156 3706840 4170195 4448208 5560260 6672312 7413680 8340390 11120520 13344624 16680780 22241040 33361560 66723120 116672789 233345578 350018367 466691156 583363945 700036734 933382312 1050055101 1166727890 1400073468 1750091835 1866764624 2100110202 2333455780 2800146936 3500183670 4200220404 4666911560 5250275505 5600293872 7000367340 8400440808 9333823120 10500551010 14000734680 16800881616 21001102020 28001469360 42002204040 84004408080