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116785035214848 = 2173771121337
BaseRepresentation
bin11010100011011100100010…
…100010100000000000000000
3120022111112120220100020000000
4122203130202202200000000
5110301401223003333343
61052214145440000000
733412304020331610
oct3243344242400000
9508445526306000
10116785035214848
1134236289887800
1211121880000000
135021a21141360
1420ba5d67daa40
15d77ca7cd1ed3
hex6a37228a0000

116785035214848 has 3456 divisors, whose sum is σ = 486704508433920. Its totient is φ = 27243640258560.

The previous prime is 116785035214781. The next prime is 116785035214853. The reversal of 116785035214848 is 848412530587611.

116785035214848 is a `hidden beast` number, since 1 + 1 + 6 + 78 + 50 + 35 + 2 + 1 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 3156352303086 + ... + 3156352303122.

It is an arithmetic number, because the mean of its divisors is an integer number (140828850820).

Almost surely, 2116785035214848 is an apocalyptic number.

116785035214848 is a gapful number since it is divisible by the number (18) 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 116785035214848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243352254216960).

116785035214848 is an abundant number, since it is smaller than the sum of its proper divisors (369919473219072).

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

116785035214848 is an frugal number, since it uses more digits than its factorization.

116785035214848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 116785035214848 in words is "one hundred sixteen trillion, seven hundred eighty-five billion, thirty-five million, two hundred fourteen thousand, eight hundred forty-eight".