Base | Representation |
---|---|
bin | 1100010000100100010… |
… | …0111101010010000000 |
3 | 202010121110202122220000 |
4 | 3010021010331102000 |
5 | 11422310024121112 |
6 | 240430110520000 |
7 | 21134001562641 |
oct | 3041104752200 |
9 | 663543678800 |
10 | 210605692032 |
11 | 8135447163a |
12 | 34997506000 |
13 | 16b24648ca8 |
14 | a29c86d6c8 |
15 | 57295c67dc |
hex | 310913d480 |
210605692032 has 120 divisors (see below), whose sum is σ = 626898221235. Its totient is φ = 70186321152.
The previous prime is 210605692021. The next prime is 210605692039. The reversal of 210605692032 is 230296506012.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
210605692032 is a `hidden beast` number, since 2 + 1 + 0 + 60 + 569 + 2 + 0 + 32 = 666.
It can be written as a sum of positive squares in only one way, i.e., 105302846016 + 105302846016 = 324504^2 + 324504^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=324504.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (210605692039) 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 14 ways as a sum of consecutive naturals, for example, 46726323 + ... + 46730829.
Almost surely, 2210605692032 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 210605692032
210605692032 is an abundant number, since it is smaller than the sum of its proper divisors (416292529203).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210605692032 is an frugal number, since it uses more digits than its factorization.
210605692032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9040 (or 4512 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The spelling of 210605692032 in words is "two hundred ten billion, six hundred five million, six hundred ninety-two thousand, thirty-two".
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