Base | Representation |
---|---|
bin | 11111001111011100… |
… | …100001000111001100 |
3 | 10012120211002012002200 |
4 | 133033130201013030 |
5 | 1022200023133234 |
6 | 23224352321500 |
7 | 2265164622060 |
oct | 371734410714 |
9 | 105524065080 |
10 | 33545130444 |
11 | 13254396001 |
12 | 6602243290 |
13 | 32179a3517 |
14 | 18a31d3aa0 |
15 | d14e9cd99 |
hex | 7cf7211cc |
33545130444 has 144 divisors (see below), whose sum is σ = 101189088000. Its totient is φ = 9167131008.
The previous prime is 33545130391. The next prime is 33545130449. The reversal of 33545130444 is 44403154533.
33545130444 is a `hidden beast` number, since 33 + 54 + 5 + 130 + 444 = 666.
It is a super-2 number, since 2×335451304442 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 33545130399 and 33545130408.
It is not an unprimeable number, because it can be changed into a prime (33545130449) 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, 760507 + ... + 803405.
It is an arithmetic number, because the mean of its divisors is an integer number (702702000).
Almost surely, 233545130444 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 33545130444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50594544000).
33545130444 is an abundant number, since it is smaller than the sum of its proper divisors (67643957556).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33545130444 is a wasteful number, since it uses less digits than its factorization.
33545130444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 43052 (or 43047 counting only the distinct ones).
The product of its (nonzero) digits is 172800, while the sum is 36.
Adding to 33545130444 its reverse (44403154533), we get a palindrome (77948284977).
The spelling of 33545130444 in words is "thirty-three billion, five hundred forty-five million, one hundred thirty thousand, four hundred forty-four".
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