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116840349120 = 26351123171457
BaseRepresentation
bin110110011010000111…
…0100011110111000000
3102011120210201201022210
41230310032203313000
53403242112132440
6125401542102120
711304261403155
oct1546416436700
9364523651283
10116840349120
1145608370700
121a78971a940
13b030705271
14592586222c
15308c8c7a80
hex1b343a3dc0

116840349120 has 672 divisors, whose sum is σ = 427774169088. Its totient is φ = 26966016000.

The previous prime is 116840349107. The next prime is 116840349127. The reversal of 116840349120 is 21943048611.

116840349120 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 not an unprimeable number, because it can be changed into a prime (116840349127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255667932 + ... + 255668388.

It is an arithmetic number, because the mean of its divisors is an integer number (636568704).

Almost surely, 2116840349120 is an apocalyptic number.

116840349120 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 116840349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213887084544).

116840349120 is an abundant number, since it is smaller than the sum of its proper divisors (310933819968).

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

116840349120 is a wasteful number, since it uses less digits than its factorization.

116840349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 116840349120 in words is "one hundred sixteen billion, eight hundred forty million, three hundred forty-nine thousand, one hundred twenty".