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117681140304 = 243871397127
BaseRepresentation
bin110110110011001010…
…1111011001001010000
3102020202101211100000000
41231212111323021100
53412002332442204
6130021215130000
711334151121340
oct1554625731120
9366671740000
10117681140304
11459a9a32552
121a983213900
13b13596ab40
1459a53a8d20
1530db60b039
hex1b6657b250

117681140304 has 720 divisors, whose sum is σ = 428602789888. Its totient is φ = 30474952704.

The previous prime is 117681140299. The next prime is 117681140371. The reversal of 117681140304 is 403041186711.

117681140304 is a `hidden beast` number, since 1 + 176 + 81 + 1 + 403 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 926623089 + ... + 926623215.

Almost surely, 2117681140304 is an apocalyptic number.

117681140304 is a gapful number since it is divisible by the number (14) 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 117681140304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214301394944).

117681140304 is an abundant number, since it is smaller than the sum of its proper divisors (310921649584).

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

117681140304 is an equidigital number, since it uses as much as digits as its factorization.

117681140304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 117681140304 in words is "one hundred seventeen billion, six hundred eighty-one million, one hundred forty thousand, three hundred four".