Search a number
-
+
8008408880444 = 227538536326497
BaseRepresentation
bin111010010001001101001…
…0111011101010100111100
31001100121002210011210021202
41310202122113131110330
52022202210133133234
625011002351315032
71454405560215530
oct164423227352474
931317083153252
108008408880444
112608390041605
12a940bbb1ba78
13461260a6796b
141d987537dbc0
15dd4b52ca77e
hex7489a5dd53c

8008408880444 has 48 divisors (see below), whose sum is σ = 16338155779008. Its totient is φ = 3363468945408.

The previous prime is 8008408880413. The next prime is 8008408880449. The reversal of 8008408880444 is 4440888048008.

It is a super-2 number, since 2×80084088804442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8008408880444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008408880449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1897397 + ... + 4429100.

It is an arithmetic number, because the mean of its divisors is an integer number (340378245396).

Almost surely, 28008408880444 is an apocalyptic number.

It is an amenable number.

8008408880444 is an abundant number, since it is smaller than the sum of its proper divisors (8329746898564).

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

8008408880444 is a wasteful number, since it uses less digits than its factorization.

8008408880444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6327414 (or 6327412 counting only the distinct ones).

The product of its (nonzero) digits is 8388608, while the sum is 56.

The spelling of 8008408880444 in words is "eight trillion, eight billion, four hundred eight million, eight hundred eighty thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 53 106 212 371 742 853 1484 1706 3412 5971 11942 23884 45209 90418 180836 316463 632926 1265852 6326497 12652994 25305988 44285479 88570958 177141916 335304341 670608682 1341217364 2347130387 4694260774 5396501941 9388521548 10793003882 21586007764 37775513587 75551027174 151102054348 286014602873 572029205746 1144058411492 2002102220111 4004204440222 8008408880444