Base | Representation |
---|---|
bin | 10000001001010011101001… |
… | …11000011100000111010100 |
3 | 11122201011102222222001012100 |
4 | 20010221310320130013110 |
5 | 14123200010104333022 |
6 | 203302215231322100 |
7 | 10323043124621316 |
oct | 1004516470340724 |
9 | 148634388861170 |
10 | 35504160621012 |
11 | 10349259096176 |
12 | 3b94b3b680330 |
13 | 16a704961ccb5 |
14 | 8aa5a675b7b6 |
15 | 4188285301ac |
hex | 204a74e1c1d4 |
35504160621012 has 144 divisors (see below), whose sum is σ = 93189183469200. Its totient is φ = 11388478777344.
The previous prime is 35504160620969. The next prime is 35504160621019. The reversal of 35504160621012 is 21012606140553.
35504160621012 is a `hidden beast` number, since 3 + 5 + 5 + 0 + 4 + 16 + 0 + 621 + 0 + 12 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 3237171017796 + 32266989603216 = 1799214^2 + 5680404^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (35504160621019) 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, 45859158 + ... + 46626930.
It is an arithmetic number, because the mean of its divisors is an integer number (647147107425).
Almost surely, 235504160621012 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 35504160621012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46594591734600).
35504160621012 is an abundant number, since it is smaller than the sum of its proper divisors (57685022848188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35504160621012 is a wasteful number, since it uses less digits than its factorization.
35504160621012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 768202 (or 768197 counting only the distinct ones).
The product of its (nonzero) digits is 43200, while the sum is 36.
Adding to 35504160621012 its reverse (21012606140553), we get a palindrome (56516766761565).
The spelling of 35504160621012 in words is "thirty-five trillion, five hundred four billion, one hundred sixty million, six hundred twenty-one thousand, twelve".
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