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26541434129 = 728924672
BaseRepresentation
bin11000101101111111…
…100010010100010001
32112111201101112220212
4120231333202110101
5413324101343004
620105403013505
71626502316300
oct305577422421
975451345825
1026541434129
111028aa47331
12518880a295
13266c9a5012
1413dad94437
15a551a396e
hex62dfe2511

26541434129 has 18 divisors (see below), whose sum is σ = 31234297410. Its totient is φ = 22485066912.

The previous prime is 26541434119. The next prime is 26541434149. The reversal of 26541434129 is 92143414562.

It can be written as a sum of positive squares in only one way, i.e., 19085975104 + 7455459025 = 138152^2 + 86345^2 .

It is not a de Polignac number, because 26541434129 - 224 = 26524656913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26541434119) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10757354 + ... + 10759820.

It is an arithmetic number, because the mean of its divisors is an integer number (1735238745).

Almost surely, 226541434129 is an apocalyptic number.

It is an amenable number.

26541434129 is a deficient number, since it is larger than the sum of its proper divisors (4692863281).

26541434129 is an frugal number, since it uses more digits than its factorization.

26541434129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037 (or 2563 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The spelling of 26541434129 in words is "twenty-six billion, five hundred forty-one million, four hundred thirty-four thousand, one hundred twenty-nine".

Divisors: 1 7 49 89 623 2467 4361 17269 120883 219563 1536941 6086089 10758587 42602623 298218361 541661921 3791633447 26541434129