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12432532005 = 325373740693
BaseRepresentation
bin10111001010000100…
…10110001000100101
31012002110000001201100
423211002112020211
5200430212011010
65413400150313
7620042530665
oct134502261045
935073001640
1012432532005
1152aa927343
1224ab768399
13123195671a
1485d2501a5
154cb70d2c0
hex2e5096225

12432532005 has 24 divisors (see below), whose sum is σ = 21607525368. Its totient is φ = 6612898176.

The previous prime is 12432531959. The next prime is 12432532009. The reversal of 12432532005 is 50023523421.

It is a happy number.

12432532005 is a `hidden beast` number, since 12 + 4 + 325 + 320 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 248346081 + 12184185924 = 15759^2 + 110382^2 .

It is not a de Polignac number, because 12432532005 - 223 = 12424143397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12432532005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432532009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353562 + ... + 387131.

It is an arithmetic number, because the mean of its divisors is an integer number (900313557).

Almost surely, 212432532005 is an apocalyptic number.

12432532005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12432532005 is a deficient number, since it is larger than the sum of its proper divisors (9174993363).

12432532005 is a wasteful number, since it uses less digits than its factorization.

12432532005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741077 (or 741074 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 12432532005 in words is "twelve billion, four hundred thirty-two million, five hundred thirty-two thousand, five".

Divisors: 1 3 5 9 15 45 373 1119 1865 3357 5595 16785 740693 2222079 3703465 6666237 11110395 33331185 276278489 828835467 1381392445 2486506401 4144177335 12432532005