Base | Representation |
---|---|
bin | 1001100010101101001… |
… | …0110010010101111010 |
3 | 120200010220211001120200 |
4 | 2120223102302111322 |
5 | 10141214341233310 |
6 | 203151042103030 |
7 | 14562315243516 |
oct | 2305322622572 |
9 | 520126731520 |
10 | 163935102330 |
11 | 6358510084a |
12 | 2793164aa76 |
13 | 125c75b803c |
14 | 7d123b3146 |
15 | 43e71939c0 |
hex | 262b4b257a |
163935102330 has 96 divisors (see below), whose sum is σ = 436762806480. Its totient is φ = 42636533760.
The previous prime is 163935102329. The next prime is 163935102337. The reversal of 163935102330 is 33201539361.
163935102330 is a `hidden beast` number, since 1 + 6 + 3 + 93 + 510 + 23 + 30 = 666.
163935102330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 16246306521 + 147688795809 = 127461^2 + 384303^2 .
It is not an unprimeable number, because it can be changed into a prime (163935102337) 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 47 ways as a sum of consecutive naturals, for example, 18862626 + ... + 18871314.
Almost surely, 2163935102330 is an apocalyptic number.
163935102330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 163935102330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218381403240).
163935102330 is an abundant number, since it is smaller than the sum of its proper divisors (272827704150).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
163935102330 is a wasteful number, since it uses less digits than its factorization.
163935102330 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13856 (or 13853 counting only the distinct ones).
The product of its (nonzero) digits is 43740, while the sum is 36.
The spelling of 163935102330 in words is "one hundred sixty-three billion, nine hundred thirty-five million, one hundred two thousand, three hundred thirty".
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