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117344160000 = 283354231181
BaseRepresentation
bin110110101001001000…
…0011100100100000000
3102012212220201221221000
41231102100130210000
53410310101110000
6125523540332000
711322616621434
oct1552220344400
9365786657830
10117344160000
11458467a0231
121a8aa3a4000
13b0b0bc2b02
14597272a9c4
1530bbc45000
hex1b5241c900

117344160000 has 720 divisors, whose sum is σ = 452856539520. Its totient is φ = 29905920000.

The previous prime is 117344159983. The next prime is 117344160001. The reversal of 117344160000 is 61443711.

It is a happy number.

117344160000 is a `hidden beast` number, since 1 + 17 + 3 + 4 + 41 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1173441600002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117344160001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 99359410 + ... + 99360590.

It is an arithmetic number, because the mean of its divisors is an integer number (628967416).

Almost surely, 2117344160000 is an apocalyptic number.

117344160000 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 117344160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226428269760).

117344160000 is an abundant number, since it is smaller than the sum of its proper divisors (335512379520).

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

117344160000 is an equidigital number, since it uses as much as digits as its factorization.

117344160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 117344160000 in words is "one hundred seventeen billion, three hundred forty-four million, one hundred sixty thousand".