Search a number
-
+
12332133203232 = 253432987435369
BaseRepresentation
bin1011001101110100110001…
…1010110011110100100000
31121122221101120021222121210
42303131030122303310200
53104022202100000412
642121145341150120
72411652520450203
oct263351432636440
947587346258553
1012332133203232
113a25034771307
12147207255b340
136b5bb88283cb
14308c425b993a
15165bc162d83c
hexb374c6b3d20

12332133203232 has 48 divisors (see below), whose sum is σ = 33124683382560. Its totient is φ = 4015113134592.

The previous prime is 12332133203231. The next prime is 12332133203251. The reversal of 12332133203232 is 23230233123321.

12332133203232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12332133203232.

It is not an unprimeable number, because it can be changed into a prime (12332133203231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1493713557 + ... + 1493721812.

It is an arithmetic number, because the mean of its divisors is an integer number (690097570470).

Almost surely, 212332133203232 is an apocalyptic number.

12332133203232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12332133203232 is an abundant number, since it is smaller than the sum of its proper divisors (20792550179328).

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

12332133203232 is a wasteful number, since it uses less digits than its factorization.

12332133203232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987435425 (or 2987435417 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 12332133203232 its reverse (23230233123321), we get a palindrome (35562366326553).

The spelling of 12332133203232 in words is "twelve trillion, three hundred thirty-two billion, one hundred thirty-three million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 2987435369 5974870738 8962306107 11949741476 17924612214 23899482952 35849224428 47798965904 71698448856 95597931808 128459720867 143396897712 256919441734 286793795424 385379162601 513838883468 770758325202 1027677766936 1541516650404 2055355533872 3083033300808 4110711067744 6166066601616 12332133203232