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116185158245376 = 2103511192313793
BaseRepresentation
bin11010011010101101110111…
…000101011101110000000000
3120020101012012102222202200000
4122122231313011131300000
5110212034201002323001
61051034420322400000
733321046350246303
oct3232556705356000
9506335172882600
10116185158245376
1134024937985930
1211045566500000
134caa2a0b2c29c
14209956aa20b3a
15d67398b67a86
hex69ab7715dc00

116185158245376 has 1584 divisors, whose sum is σ = 413592593476608. Its totient is φ = 32270126284800.

The previous prime is 116185158245309. The next prime is 116185158245381. The reversal of 116185158245376 is 673542851581611.

116185158245376 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 8 + 5 + 1 + 582 + 45 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30631466136 + ... + 30631469928.

Almost surely, 2116185158245376 is an apocalyptic number.

116185158245376 is a gapful number since it is divisible by the number (16) 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 116185158245376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206796296738304).

116185158245376 is an abundant number, since it is smaller than the sum of its proper divisors (297407435231232).

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

116185158245376 is a wasteful number, since it uses less digits than its factorization.

116185158245376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3859 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 63.

The spelling of 116185158245376 in words is "one hundred sixteen trillion, one hundred eighty-five billion, one hundred fifty-eight million, two hundred forty-five thousand, three hundred seventy-six".