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26810460121 = 73222432
BaseRepresentation
bin11000111110000001…
…110010011111011001
32120012110121111012111
4120332001302133121
5414401434210441
620152213112321
71636250102524
oct307601623731
976173544174
1026810460121
1110408895565
1252429286a1
1326b36496b3
1414249c3bbb
15a6dae5081
hex63e0727d9

26810460121 has 9 divisors (see below), whose sum is σ = 27194882079. Its totient is φ = 26431404336.

The previous prime is 26810460097. The next prime is 26810460133. The reversal of 26810460121 is 12106401862.

The square root of 26810460121 is 163739.

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

It can be written as a sum of positive squares in only one way, i.e., 15218923225 + 11591536896 = 123365^2 + 107664^2 .

It is not a de Polignac number, because 26810460121 - 221 = 26808362969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26810460191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11951826 + ... + 11954068.

Almost surely, 226810460121 is an apocalyptic number.

26810460121 is the 163739-th square number.

26810460121 is the 81870-th centered octagonal number.

It is an amenable number.

26810460121 is a deficient number, since it is larger than the sum of its proper divisors (384421958).

26810460121 is an frugal number, since it uses more digits than its factorization.

26810460121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

Adding to 26810460121 its reverse (12106401862), we get a palindrome (38916861983).

The spelling of 26810460121 in words is "twenty-six billion, eight hundred ten million, four hundred sixty thousand, one hundred twenty-one".

Divisors: 1 73 2243 5329 163739 5031049 11952947 367266577 26810460121