Search a number
-
+
8000804444880 = 2435132564360399
BaseRepresentation
bin111010001101101010100…
…0110110101101011010000
31001022212110211002102210010
41310123111012311223100
52022041121414214010
625003304022034520
71454016251454462
oct164332506655320
931285424072703
108000804444880
11260513858a615
12a92739278a40
1346061b472250
141d9353444132
15dd1bc8b9620
hex746d51b5ad0

8000804444880 has 80 divisors (see below), whose sum is σ = 26710377926400. Its totient is φ = 1969428785664.

The previous prime is 8000804444879. The next prime is 8000804444881. The reversal of 8000804444880 is 884444080008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8000804444879) and next prime (8000804444881).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000804444881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1282177080 + ... + 1282183319.

It is an arithmetic number, because the mean of its divisors is an integer number (333879724080).

Almost surely, 28000804444880 is an apocalyptic number.

8000804444880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8000804444880 is an abundant number, since it is smaller than the sum of its proper divisors (18709573481520).

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

8000804444880 is a wasteful number, since it uses less digits than its factorization.

8000804444880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564360428 (or 2564360422 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 8000804444880 in words is "eight trillion, eight hundred four million, four hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 2564360399 5128720798 7693081197 10257441596 12821801995 15386162394 20514883192 25643603990 30772324788 33336685187 38465405985 41029766384 51287207980 61544649576 66673370374 76930811970 100010055561 102574415960 123089299152 133346740748 153861623940 166683425935 200020111122 205148831920 266693481496 307723247880 333366851870 400040222244 500050277805 533386962992 615446495760 666733703740 800080444488 1000100555610 1333467407480 1600160888976 2000201111220 2666934814960 4000402222440 8000804444880