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117116208000 = 27325311107691
BaseRepresentation
bin110110100010010101…
…0111000001110000000
3102012022000210210120100
41231010222320032000
53404323222124000
6125445154442400
711314151225361
oct1550452701600
9365260723510
10117116208000
114573a056550
121a845b93400
13b0758cca7c
14595034db68
1530a6c18a00
hex1b44ab8380

117116208000 has 768 divisors, whose sum is σ = 463787700480. Its totient is φ = 28085760000.

The previous prime is 117116207987. The next prime is 117116208007. The reversal of 117116208000 is 802611711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117116208007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169487655 + ... + 169488345.

It is an arithmetic number, because the mean of its divisors is an integer number (603890235).

Almost surely, 2117116208000 is an apocalyptic number.

117116208000 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 117116208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231893850240).

117116208000 is an abundant number, since it is smaller than the sum of its proper divisors (346671492480).

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

117116208000 is a wasteful number, since it uses less digits than its factorization.

117116208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 117116208000 its reverse (802611711), we get a palindrome (117918819711).

The spelling of 117116208000 in words is "one hundred seventeen billion, one hundred sixteen million, two hundred eight thousand".