Search a number
-
+
8463841793120 = 255723973387271
BaseRepresentation
bin111101100101010010001…
…0010001001010001100000
31002222010122200112220000102
41323022210102021101200
52102132421444334440
630000122451241532
71532330614131050
oct173124422112140
932863580486012
108463841793120
11277354a04972a
12b484235a92a8
134951a189a83c
1421391b625560
15ea26d4d5b15
hex7b2a4489460

8463841793120 has 192 divisors, whose sum is σ = 24091795961856. Its totient is φ = 2747103068160.

The previous prime is 8463841793027. The next prime is 8463841793129. The reversal of 8463841793120 is 213971483648.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8463841793129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805085 + ... + 4192355.

It is an arithmetic number, because the mean of its divisors is an integer number (125478103968).

Almost surely, 28463841793120 is an apocalyptic number.

8463841793120 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 8463841793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12045897980928).

8463841793120 is an abundant number, since it is smaller than the sum of its proper divisors (15627954168736).

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

8463841793120 is a wasteful number, since it uses less digits than its factorization.

8463841793120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387413 (or 3387405 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 8463841793120 in words is "eight trillion, four hundred sixty-three billion, eight hundred forty-one million, seven hundred ninety-three thousand, one hundred twenty".