Search a number
-
+
33204143424 = 2631925136263
BaseRepresentation
bin11110111011000111…
…110000010101000000
310011201001110020211210
4132323013300111000
51021000230042144
623130452010120
72253554363604
oct367307602500
9104631406753
1033204143424
1113099967451
126528000940
13319215485a
14186dbd1504
15ce5094ab9
hex7bb1f0540

33204143424 has 112 divisors (see below), whose sum is σ = 92847444480. Its totient is φ = 10443456000.

The previous prime is 33204143393. The next prime is 33204143447. The reversal of 33204143424 is 42434140233.

It is a happy number.

It is a super-2 number, since 2×332041434242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33204143391 and 33204143400.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 897517 + ... + 933779.

It is an arithmetic number, because the mean of its divisors is an integer number (828995040).

Almost surely, 233204143424 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 33204143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46423722240).

33204143424 is an abundant number, since it is smaller than the sum of its proper divisors (59643301056).

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

33204143424 is a wasteful number, since it uses less digits than its factorization.

33204143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36548 (or 36538 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 33204143424 its reverse (42434140233), we get a palindrome (75638283657).

The spelling of 33204143424 in words is "thirty-three billion, two hundred four million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 251 304 456 502 608 753 912 1004 1216 1506 1824 2008 3012 3648 4016 4769 6024 8032 9538 12048 14307 16064 19076 24096 28614 36263 38152 48192 57228 72526 76304 108789 114456 145052 152608 217578 228912 290104 305216 435156 457824 580208 688997 870312 915648 1160416 1377994 1740624 2066991 2320832 2755988 3481248 4133982 5511976 6962496 8267964 9102013 11023952 16535928 18204026 22047904 27306039 33071856 36408052 44095808 54612078 66143712 72816104 109224156 132287424 145632208 172938247 218448312 291264416 345876494 436896624 518814741 582528832 691752988 873793248 1037629482 1383505976 1747586496 2075258964 2767011952 4150517928 5534023904 8301035856 11068047808 16602071712 33204143424