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116336846400 = 26352172114083
BaseRepresentation
bin110110001011000110…
…1110110011001000000
3102010021201022010102220
41230112031312121000
53401224213041100
6125235554211040
711255635610205
oct1542615663100
9363251263386
10116336846400
114537a131655
121a668b83a80
13ac802c4a68
1458b8a37cac
15305d5bbaa0
hex1b16376640

116336846400 has 168 divisors, whose sum is σ = 381930700704. Its totient is φ = 31002931200.

The previous prime is 116336846369. The next prime is 116336846401. The reversal of 116336846400 is 4648633611.

It is not an unprimeable number, because it can be changed into a prime (116336846401) 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 23 ways as a sum of consecutive naturals, for example, 8253759 + ... + 8267841.

It is an arithmetic number, because the mean of its divisors is an integer number (2273397028).

Almost surely, 2116336846400 is an apocalyptic number.

116336846400 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 116336846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190965350352).

116336846400 is an abundant number, since it is smaller than the sum of its proper divisors (265593854304).

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

116336846400 is a wasteful number, since it uses less digits than its factorization.

116336846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15829 (or 15814 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 116336846400 in words is "one hundred sixteen billion, three hundred thirty-six million, eight hundred forty-six thousand, four hundred".