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12135501405 = 35571140677
BaseRepresentation
bin10110100110101010…
…10000111001011101
31011022202002100100000
423103111100321131
5144323142021110
65324105524513
7606505026366
oct132325207135
934282070300
1012135501405
1151681a0905
1224281a3739
1311b5258381
14831a10b6d
154b05d91c0
hex2d3550e5d

12135501405 has 48 divisors (see below), whose sum is σ = 22121334144. Its totient is φ = 6381063360.

The previous prime is 12135501403. The next prime is 12135501449. The reversal of 12135501405 is 50410553121.

12135501405 is a `hidden beast` number, since 121 + 35 + 501 + 4 + 0 + 5 = 666.

It is not a de Polignac number, because 12135501405 - 21 = 12135501403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135501403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15927 + ... + 156603.

It is an arithmetic number, because the mean of its divisors is an integer number (460861128).

Almost surely, 212135501405 is an apocalyptic number.

12135501405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12135501405 is a deficient number, since it is larger than the sum of its proper divisors (9985832739).

12135501405 is an equidigital number, since it uses as much as digits as its factorization.

12135501405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140768 (or 140756 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 12135501405 in words is "twelve billion, one hundred thirty-five million, five hundred one thousand, four hundred five".

Divisors: 1 3 5 9 15 27 45 71 81 135 213 243 355 405 639 1065 1215 1917 3195 5751 9585 17253 28755 86265 140677 422031 703385 1266093 2110155 3798279 6330465 9988067 11394837 18991395 29964201 34184511 49940335 56974185 89892603 149821005 170922555 269677809 449463015 809033427 1348389045 2427100281 4045167135 12135501405