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117342521856 = 293372211821
BaseRepresentation
bin110110101001000101…
…0001100101000000000
3102012212210122201211000
41231102022030220000
53410304141144411
6125523441252000
711322566656500
oct1552212145000
9365783581730
10117342521856
114584588149a
121a8a9934000
13b0b076b2b1
145972421a00
1530bba1e956
hex1b5228ca00

117342521856 has 480 divisors, whose sum is σ = 406460324160. Its totient is φ = 33326899200.

The previous prime is 117342521831. The next prime is 117342521867. The reversal of 117342521856 is 658125243711.

117342521856 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 42 + 521 + 85 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142925926 + ... + 142926746.

It is an arithmetic number, because the mean of its divisors is an integer number (846792342).

Almost surely, 2117342521856 is an apocalyptic number.

117342521856 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 117342521856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203230162080).

117342521856 is an abundant number, since it is smaller than the sum of its proper divisors (289117802304).

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

117342521856 is an equidigital number, since it uses as much as digits as its factorization.

117342521856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1044 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 117342521856 in words is "one hundred seventeen billion, three hundred forty-two million, five hundred twenty-one thousand, eight hundred fifty-six".