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116493471000 = 233653159799
BaseRepresentation
bin110110001111110001…
…1010100110100011000
3102010200122000111000000
41230133203110310120
53402034312033000
6125303311213000
711262550110534
oct1543743246430
9363618014000
10116493471000
114544a588a75
121a6b1517160
13aca68a303a
1458d1768bc4
15306c209000
hex1b1f8d4d18

116493471000 has 224 divisors, whose sum is σ = 408707676000. Its totient is φ = 31064731200.

The previous prime is 116493470999. The next prime is 116493471001. The reversal of 116493471000 is 174394611.

116493471000 is a `hidden beast` number, since 1 + 1 + 649 + 3 + 4 + 7 + 1 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116493470999) and next prime (116493471001).

It is a super-3 number, since 3×1164934710003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116493471001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 649101 + ... + 808899.

Almost surely, 2116493471000 is an apocalyptic number.

116493471000 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 116493471000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204353838000).

116493471000 is an abundant number, since it is smaller than the sum of its proper divisors (292214205000).

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

116493471000 is an equidigital number, since it uses as much as digits as its factorization.

116493471000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159838 (or 159809 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 116493471000 in words is "one hundred sixteen billion, four hundred ninety-three million, four hundred seventy-one thousand".