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12332214432 = 253242820189
BaseRepresentation
bin10110111110000111…
…01010100010100000
31011211110020101212200
423133003222202200
5200224021330212
65355414053200
7614414043636
oct133703524240
934743211780
1012332214432
11525923925a
12248204a200
131216c31505
1484dbb9356
154c29e46dc
hex2df0ea8a0

12332214432 has 36 divisors (see below), whose sum is σ = 35069735610. Its totient is φ = 4110738048.

The previous prime is 12332214353. The next prime is 12332214437. The reversal of 12332214432 is 23441223321.

12332214432 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 221 + 4 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11490982416 + 841232016 = 107196^2 + 29004^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12332214396 and 12332214405.

It is not an unprimeable number, because it can be changed into a prime (12332214437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21409807 + ... + 21410382.

Almost surely, 212332214432 is an apocalyptic number.

12332214432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12332214432 is an abundant number, since it is smaller than the sum of its proper divisors (22737521178).

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

12332214432 is a wasteful number, since it uses less digits than its factorization.

12332214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42820205 (or 42820194 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 12332214432 its reverse (23441223321), we get a palindrome (35773437753).

The spelling of 12332214432 in words is "twelve billion, three hundred thirty-two million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42820189 85640378 128460567 171280756 256921134 342561512 385381701 513842268 685123024 770763402 1027684536 1370246048 1541526804 2055369072 3083053608 4110738144 6166107216 12332214432