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116688000000 = 210356111317
BaseRepresentation
bin110110010101100100…
…1011001010000000000
3102011012012001120121210
41230223021121100000
53402434112000000
6125334500450120
711300431430505
oct1545311312000
9364165046553
10116688000000
114553a374540
121a7466a9940
13b007c93060
14590d5254ac
15307e332350
hex1b2b259400

116688000000 has 1232 divisors, whose sum is σ = 483597559872. Its totient is φ = 24576000000.

The previous prime is 116687999999. The next prime is 116688000019. The reversal of 116688000000 is 886611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6863999992 + ... + 6864000008.

Almost surely, 2116688000000 is an apocalyptic number.

116688000000 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 116688000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241798779936).

116688000000 is an abundant number, since it is smaller than the sum of its proper divisors (366909559872).

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

116688000000 is an equidigital number, since it uses as much as digits as its factorization.

116688000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

Adding to 116688000000 its reverse (886611), we get a palindrome (116688886611).

The spelling of 116688000000 in words is "one hundred sixteen billion, six hundred eighty-eight million", and thus it is an aban number.