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12432220344 = 2332172669727
BaseRepresentation
bin10111001010000010…
…01010000010111000
31012002102102020012100
423211001022002320
5200430122022334
65413345343400
7620040062235
oct134501120270
935072366170
1012432220344
1152aa734175
1224ab637b60
1312318778cb
1485d1ac78c
154cb69ac99
hex2e504a0b8

12432220344 has 24 divisors (see below), whose sum is σ = 33670596960. Its totient is φ = 4144073424.

The previous prime is 12432220327. The next prime is 12432220379. The reversal of 12432220344 is 44302223421.

12432220344 is a `hidden beast` number, since 1 + 2 + 432 + 220 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86334792 + ... + 86334935.

It is an arithmetic number, because the mean of its divisors is an integer number (1402941540).

Almost surely, 212432220344 is an apocalyptic number.

It is an amenable number.

12432220344 is an abundant number, since it is smaller than the sum of its proper divisors (21238376616).

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

12432220344 is a wasteful number, since it uses less digits than its factorization.

12432220344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172669739 (or 172669732 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12432220344 its reverse (44302223421), we get a palindrome (56734443765).

The spelling of 12432220344 in words is "twelve billion, four hundred thirty-two million, two hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 172669727 345339454 518009181 690678908 1036018362 1381357816 1554027543 2072036724 3108055086 4144073448 6216110172 12432220344