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12325350144 = 28316048633
BaseRepresentation
bin10110111101010010…
…11110101100000000
31011210222022122211210
423132221132230000
5200220242201034
65355011010120
7614301514302
oct133651365400
934728278753
1012325350144
11525537aa98
12247b899940
131215699cc3
1484cd0d972
154c20da8e9
hex2dea5eb00

12325350144 has 36 divisors (see below), whose sum is σ = 32803407896. Its totient is φ = 4108449792.

The previous prime is 12325350143. The next prime is 12325350157. The reversal of 12325350144 is 44105352321.

12325350144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12325350143) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 8023549 + ... + 8025084.

Almost surely, 212325350144 is an apocalyptic number.

It is an amenable number.

12325350144 is an abundant number, since it is smaller than the sum of its proper divisors (20478057752).

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

12325350144 is an equidigital number, since it uses as much as digits as its factorization.

12325350144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16048652 (or 16048638 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 12325350144 in words is "twelve billion, three hundred twenty-five million, three hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 16048633 32097266 48145899 64194532 96291798 128389064 192583596 256778128 385167192 513556256 770334384 1027112512 1540668768 2054225024 3081337536 4108450048 6162675072 12325350144