Base | Representation |
---|---|
bin | 110110100100011100… |
… | …1001111101101000000 |
3 | 102012110222011121220000 |
4 | 1231020321033231000 |
5 | 3404444343124242 |
6 | 125500205520000 |
7 | 11316001525263 |
oct | 1551071175500 |
9 | 365428147800 |
10 | 117187083072 |
11 | 45776064a94 |
12 | 1a865873000 |
13 | b0874b6997 |
14 | 595991ccda |
15 | 30ad068a4c |
hex | 1b48e4fb40 |
117187083072 has 140 divisors (see below), whose sum is σ = 347926091040. Its totient is φ = 39000870144.
The previous prime is 117187083053. The next prime is 117187083089. The reversal of 117187083072 is 270380781711.
It is a happy number.
117187083072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3336579 + ... + 3371517.
Almost surely, 2117187083072 is an apocalyptic number.
117187083072 is a gapful number since it is divisible by the number (12) 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 117187083072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173963045520).
117187083072 is an abundant number, since it is smaller than the sum of its proper divisors (230739007968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
117187083072 is an equidigital number, since it uses as much as digits as its factorization.
117187083072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 35610 (or 35591 counting only the distinct ones).
The product of its (nonzero) digits is 131712, while the sum is 45.
The spelling of 117187083072 in words is "one hundred seventeen billion, one hundred eighty-seven million, eighty-three thousand, seventy-two".
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