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116848780984320 = 21435721117192731
BaseRepresentation
bin11010100100010111111010…
…000101010100000000000000
3120022201122010110020211110220
4122210113322011110000000
5110303422300412444240
61052303331113023040
733420021502411200
oct3244277205240000
9508648113224426
10116848780984320
1134260320695910
12111320b03b4a80
135027a3c928a88
1420bd722946400
15d797892dc5d0
hex6a45fa154000

116848780984320 has 2880 divisors, whose sum is σ = 529038429373440. Its totient is φ = 21641350348800.

The previous prime is 116848780984217. The next prime is 116848780984373. The reversal of 116848780984320 is 23489087848611.

It is a happy number.

116848780984320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 42786077355 + ... + 42786080085.

It is an arithmetic number, because the mean of its divisors is an integer number (183693899088).

Almost surely, 2116848780984320 is an apocalyptic number.

116848780984320 is a gapful number since it is divisible by the number (10) 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 116848780984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264519214686720).

116848780984320 is an abundant number, since it is smaller than the sum of its proper divisors (412189648389120).

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

116848780984320 is a wasteful number, since it uses less digits than its factorization.

116848780984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 69.

The spelling of 116848780984320 in words is "one hundred sixteen trillion, eight hundred forty-eight billion, seven hundred eighty million, nine hundred eighty-four thousand, three hundred twenty".