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12355338405 = 353722261871
BaseRepresentation
bin10111000000110111…
…11000000010100101
31011220001202020000010
423200123320002211
5200300431312110
65402001440433
7615114433524
oct134033700245
934801666003
1012355338405
1152702a2683
122489940119
13121b969837
14852cb84bb
154c4a61020
hex2e06f80a5

12355338405 has 16 divisors (see below), whose sum is σ = 20302827264. Its totient is φ = 6411418560.

The previous prime is 12355338389. The next prime is 12355338409. The reversal of 12355338405 is 50483355321.

It is not a de Polignac number, because 12355338405 - 24 = 12355338389 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12355338409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11130381 + ... + 11131490.

It is an arithmetic number, because the mean of its divisors is an integer number (1268926704).

Almost surely, 212355338405 is an apocalyptic number.

12355338405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12355338405 is a deficient number, since it is larger than the sum of its proper divisors (7947488859).

12355338405 is a wasteful number, since it uses less digits than its factorization.

12355338405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22261916.

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 12355338405 in words is "twelve billion, three hundred fifty-five million, three hundred thirty-eight thousand, four hundred five".

Divisors: 1 3 5 15 37 111 185 555 22261871 66785613 111309355 333928065 823689227 2471067681 4118446135 12355338405