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26283867129 = 3213241572
BaseRepresentation
bin11000011110101000…
…111111101111111001
32111211202201210102100
4120132220333233321
5412312132222004
620024042254013
71620224120142
oct303650775771
974752653370
1026283867129
1110168615443
1251164b7309
13262b513300
1413b4aa8ac9
15a3c777739
hex61ea3fbf9

26283867129 has 27 divisors (see below), whose sum is σ = 41120555853. Its totient is φ = 16170796512.

The previous prime is 26283867121. The next prime is 26283867131. The reversal of 26283867129 is 92176838262.

The square root of 26283867129 is 162123.

It is a perfect power (a square), and thus also a powerful number.

26283867129 is a `hidden beast` number, since 2 + 628 + 3 + 8 + 6 + 7 + 1 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4674867129 + 21609000000 = 68373^2 + 147000^2 .

It is not a de Polignac number, because 26283867129 - 23 = 26283867121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26283867121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6320719 + ... + 6324875.

Almost surely, 226283867129 is an apocalyptic number.

26283867129 is the 162123-rd square number.

26283867129 is the 81062-nd centered octagonal number.

It is an amenable number.

26283867129 is a deficient number, since it is larger than the sum of its proper divisors (14836688724).

26283867129 is an frugal number, since it uses more digits than its factorization.

26283867129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8346 (or 4173 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 26283867129 in words is "twenty-six billion, two hundred eighty-three million, eight hundred sixty-seven thousand, one hundred twenty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 4157 12471 37413 54041 162123 486369 702533 2107599 6322797 17280649 51841947 155525841 224648437 673945311 2021835933 2920429681 8761289043 26283867129