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116326801704960 = 211325711103167953
BaseRepresentation
bin11010011100110001110001…
…101100011000100000000000
3120020212201210211011001010200
4122130301301230120200000
5110221344242214024320
61051223443413325200
733334222405633050
oct3234616154304000
9506781724131120
10116326801704960
1134079a12a24530
1211068ab6636800
134cba755032472
1420a2366617560
15d6add8cc0290
hex69cc71b18800

116326801704960 has 2304 divisors, whose sum is σ = 511105715527680. Its totient is φ = 23768821923840.

The previous prime is 116326801704959. The next prime is 116326801704979. The reversal of 116326801704960 is 69407108623611.

116326801704960 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 2 + 6 + 80 + 1 + 70 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 116326801704897 and 116326801704906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122063799844 + ... + 122063800796.

It is an arithmetic number, because the mean of its divisors is an integer number (221834077920).

Almost surely, 2116326801704960 is an apocalyptic number.

116326801704960 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 116326801704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255552857763840).

116326801704960 is an abundant number, since it is smaller than the sum of its proper divisors (394778913822720).

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

116326801704960 is a wasteful number, since it uses less digits than its factorization.

116326801704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 116326801704960 in words is "one hundred sixteen trillion, three hundred twenty-six billion, eight hundred one million, seven hundred four thousand, nine hundred sixty".