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13434435126 = 2327106622501
BaseRepresentation
bin11001000001100000…
…10011011000110110
31021200021021000102100
430200300103120312
5210003203411001
610101030322530
7653626546230
oct144060233066
937607230370
1013434435126
11577442aa52
12272b1b9446
1313613abbc8
14916335250
15539668586
hex320c13636

13434435126 has 24 divisors (see below), whose sum is σ = 33266220624. Its totient is φ = 3838410000.

The previous prime is 13434435121. The next prime is 13434435137. The reversal of 13434435126 is 62153443431.

13434435126 is a `hidden beast` number, since 134 + 3 + 4 + 4 + 3 + 512 + 6 = 666.

It is a super-3 number, since 3×134344351263 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434435121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53311125 + ... + 53311376.

It is an arithmetic number, because the mean of its divisors is an integer number (1386092526).

Almost surely, 213434435126 is an apocalyptic number.

13434435126 is an abundant number, since it is smaller than the sum of its proper divisors (19831785498).

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

13434435126 is a wasteful number, since it uses less digits than its factorization.

13434435126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106622516 (or 106622513 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 13434435126 its reverse (62153443431), we get a palindrome (75587878557).

The spelling of 13434435126 in words is "thirteen billion, four hundred thirty-four million, four hundred thirty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 106622501 213245002 319867503 639735006 746357507 959602509 1492715014 1919205018 2239072521 4478145042 6717217563 13434435126