Base | Representation |
---|---|
bin | 11111001110101000… |
… | …010110101010000100 |
3 | 10012112212100110110200 |
4 | 133032220112222010 |
5 | 1022133023044012 |
6 | 23223143250500 |
7 | 2264640450216 |
oct | 371650265204 |
9 | 105485313420 |
10 | 33531456132 |
11 | 132476a6319 |
12 | 65b9749a30 |
13 | 3214bc6405 |
14 | 18a14745b6 |
15 | d13b9b3dc |
hex | 7cea16a84 |
33531456132 has 72 divisors (see below), whose sum is σ = 92840693400. Its totient is φ = 10156919808.
The previous prime is 33531456109. The next prime is 33531456137. The reversal of 33531456132 is 23165413533.
33531456132 is a `hidden beast` number, since 3 + 3 + 5 + 31 + 4 + 5 + 613 + 2 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 13589497476 + 19941958656 = 116574^2 + 141216^2 .
It is a super-2 number, since 2×335314561322 (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 not an unprimeable number, because it can be changed into a prime (33531456137) 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 23 ways as a sum of consecutive naturals, for example, 926907 + ... + 962402.
It is an arithmetic number, because the mean of its divisors is an integer number (1289454075).
Almost surely, 233531456132 is an apocalyptic number.
It is an amenable number.
33531456132 is an abundant number, since it is smaller than the sum of its proper divisors (59309237268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33531456132 is a wasteful number, since it uses less digits than its factorization.
33531456132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1889365 (or 1889360 counting only the distinct ones).
The product of its digits is 97200, while the sum is 36.
Adding to 33531456132 its reverse (23165413533), we get a palindrome (56696869665).
The spelling of 33531456132 in words is "thirty-three billion, five hundred thirty-one million, four hundred fifty-six thousand, one hundred thirty-two".
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