Base | Representation |
---|---|
bin | 11110110010001000… |
… | …000101011101011001 |
3 | 10011022112111022110010 |
4 | 132302020011131121 |
5 | 1020143112010113 |
6 | 23103501312133 |
7 | 2250042601500 |
oct | 366210053531 |
9 | 104275438403 |
10 | 33053235033 |
11 | 13021764775 |
12 | 64a5565649 |
13 | 3169ac8350 |
14 | 1857b4b837 |
15 | cd6bd61c3 |
hex | 7b2205759 |
33053235033 has 48 divisors (see below), whose sum is σ = 55472133696. Its totient is φ = 17351832960.
The previous prime is 33053235023. The next prime is 33053235037.
33053235033 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 33053235033 - 28 = 33053234777 is a prime.
It is a super-3 number, since 3×330532350333 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (33053235037) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362235 + ... + 444207.
It is an arithmetic number, because the mean of its divisors is an integer number (1155669452).
Almost surely, 233053235033 is an apocalyptic number.
It is an amenable number.
33053235033 is a deficient number, since it is larger than the sum of its proper divisors (22418898663).
33053235033 is a wasteful number, since it uses less digits than its factorization.
33053235033 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 82214 (or 82207 counting only the distinct ones).
The product of its (nonzero) digits is 36450, while the sum is 30.
The spelling of 33053235033 in words is "thirty-three billion, fifty-three million, two hundred thirty-five thousand, thirty-three".
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