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26727000001 = 132612592589
BaseRepresentation
bin11000111001000011…
…011010011111000001
32112222122120021102221
4120321003122133001
5414214103000001
620140032211041
71634214515542
oct307103323701
975878507387
1026727000001
1110375770759
12521a999a81
13269c277400
14141789a4c9
15a6660b1a1
hex6390da7c1

26727000001 has 12 divisors (see below), whose sum is σ = 29415526140. Its totient is φ = 24266623680.

The previous prime is 26726999969. The next prime is 26727000023. The reversal of 26727000001 is 10000072762.

It can be written as a sum of positive squares in 6 ways, for example, as 18285800625 + 8441199376 = 135225^2 + 91876^2 .

It is not a de Polignac number, because 26727000001 - 25 = 26726999969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 26727000001.

It is not an unprimeable number, because it can be changed into a prime (26727000071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1285986 + ... + 1306603.

It is an arithmetic number, because the mean of its divisors is an integer number (2451293845).

Almost surely, 226727000001 is an apocalyptic number.

It is an amenable number.

26727000001 is a deficient number, since it is larger than the sum of its proper divisors (2688526139).

26727000001 is a wasteful number, since it uses less digits than its factorization.

26727000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592676 (or 2592663 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

Adding to 26727000001 its reverse (10000072762), we get a palindrome (36727072763).

The spelling of 26727000001 in words is "twenty-six billion, seven hundred twenty-seven million, one", and thus it is an aban number.

Divisors: 1 13 61 169 793 10309 2592589 33703657 158147929 438147541 2055923077 26727000001