Base | Representation |
---|---|
bin | 1100011011100010100… |
… | …1100000111110110100 |
3 | 202102012202102110021000 |
4 | 3012320221200332310 |
5 | 11444323112210434 |
6 | 242034253123300 |
7 | 21300000000000 |
oct | 3067051407664 |
9 | 672182373230 |
10 | 213551288244 |
11 | 82626153678 |
12 | 35479a89530 |
13 | 171a3992828 |
14 | a49bb53700 |
15 | 584cec0b99 |
hex | 31b8a60fb4 |
213551288244 has 144 divisors (see below), whose sum is σ = 645926736000. Its totient is φ = 61014653784.
The previous prime is 213551288231. The next prime is 213551288273. The reversal of 213551288244 is 442882155312.
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.
213551288244 is a `hidden beast` number, since 2 + 1 + 35 + 512 + 88 + 24 + 4 = 666.
213551288244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
Its product of digits (614400) is a multiple of the sum of its prime divisors (12).
It is a self number, because there is not a number n which added to its sum of digits gives 213551288244.
It is a congruent number.
It is an unprimeable number.
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, 30507326889 + ... + 30507326895.
Almost surely, 2213551288244 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 213551288244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322963368000).
213551288244 is an abundant number, since it is smaller than the sum of its proper divisors (432375447756).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213551288244 is an frugal number, since it uses more digits than its factorization.
213551288244 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 90 (or 12 counting only the distinct ones).
The product of its digits is 614400, while the sum is 45.
The spelling of 213551288244 in words is "two hundred thirteen billion, five hundred fifty-one million, two hundred eighty-eight thousand, two hundred forty-four".
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