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116460176067504 = 2433269583740897
BaseRepresentation
bin11010011110101101111111…
…011011001100101110110000
3120021100111001220112122222000
4122132231333123030232300
5110231040420033130004
61051405022153014000
733346653505206063
oct3236557733145660
9507314056478860
10116460176067504
1134120535309135
121108a9193b4300
134cca1bc024709
1420a89b9cd88da
15d6e5e2ec4c39
hex69eb7f6ccbb0

116460176067504 has 40 divisors (see below), whose sum is σ = 334283838713520. Its totient is φ = 38820058689024.

The previous prime is 116460176067497. The next prime is 116460176067533. The reversal of 116460176067504 is 405760671064611.

It is a happy number.

116460176067504 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 6 + 0 + 1 + 76 + 0 + 67 + 504 = 666.

116460176067504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134791870017 + ... + 134791870880.

It is an arithmetic number, because the mean of its divisors is an integer number (8357095967838).

Almost surely, 2116460176067504 is an apocalyptic number.

It is an amenable number.

116460176067504 is an abundant number, since it is smaller than the sum of its proper divisors (217823662646016).

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

116460176067504 is a wasteful number, since it uses less digits than its factorization.

116460176067504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269583740914 (or 269583740902 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 116460176067504 in words is "one hundred sixteen trillion, four hundred sixty billion, one hundred seventy-six million, sixty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 269583740897 539167481794 808751222691 1078334963588 1617502445382 2156669927176 2426253668073 3235004890764 4313339854352 4852507336146 6470009781528 7278761004219 9705014672292 12940019563056 14557522008438 19410029344584 29115044016876 38820058689168 58230088033752 116460176067504