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117836189856 = 253871137197
BaseRepresentation
bin110110110111110010…
…1011001000010100000
3102021011012120200000000
41231233211121002200
53412312031033411
6130044434300000
711341043042010
oct1555745310240
9367135520000
10117836189856
1145a79503580
121aa07127600
13b15bb17238
1459bbc09c40
1530ea036956
hex1b6f9590a0

117836189856 has 864 divisors, whose sum is σ = 447816200832. Its totient is φ = 29628426240.

The previous prime is 117836189827. The next prime is 117836189879. The reversal of 117836189856 is 658981638711.

117836189856 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 3 + 618 + 9 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 117836189793 and 117836189802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 598153150 + ... + 598153346.

It is an arithmetic number, because the mean of its divisors is an integer number (518305788).

Almost surely, 2117836189856 is an apocalyptic number.

117836189856 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 117836189856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223908100416).

117836189856 is an abundant number, since it is smaller than the sum of its proper divisors (329980010976).

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

117836189856 is an equidigital number, since it uses as much as digits as its factorization.

117836189856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 257 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The spelling of 117836189856 in words is "one hundred seventeen billion, eight hundred thirty-six million, one hundred eighty-nine thousand, eight hundred fifty-six".