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33533121132 = 22327376135381
BaseRepresentation
bin11111001110101110…
…101101001001101100
310012112222111001102100
4133032232231021230
51022133434334012
623223243055100
72264660553360
oct371656551154
9105488431370
1033533121132
1113248633255
1265ba211490
13321535a214
1418a17892a0
15d13dc98dc
hex7cebad26c

33533121132 has 72 divisors (see below), whose sum is σ = 96901957152. Its totient is φ = 9578073600.

The previous prime is 33533121121. The next prime is 33533121137. The reversal of 33533121132 is 23112133533.

33533121132 is a `hidden beast` number, since 3 + 3 + 533 + 12 + 113 + 2 = 666.

It is a super-2 number, since 2×335331211322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33533121096 and 33533121105.

It is not an unprimeable number, because it can be changed into a prime (33533121137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 930082 + ... + 965462.

It is an arithmetic number, because the mean of its divisors is an integer number (1345860516).

Almost surely, 233533121132 is an apocalyptic number.

It is an amenable number.

33533121132 is an abundant number, since it is smaller than the sum of its proper divisors (63368836020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33533121132 is a wasteful number, since it uses less digits than its factorization.

33533121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39159 (or 39154 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

Adding to 33533121132 its reverse (23112133533), we get a palindrome (56645254665).

The spelling of 33533121132 in words is "thirty-three billion, five hundred thirty-three million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 3761 7522 11283 15044 22566 26327 33849 35381 45132 52654 67698 70762 78981 105308 106143 135396 141524 157962 212286 236943 247667 315924 318429 424572 473886 495334 636858 743001 947772 990668 1273716 1486002 2229003 2972004 4458006 8916012 133067941 266135882 399203823 532271764 798407646 931475587 1197611469 1596815292 1862951174 2395222938 2794426761 3725902348 4790445876 5588853522 8383280283 11177707044 16766560566 33533121132