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13410798025 = 52192232532
BaseRepresentation
bin11000111110101100…
…01000100111001001
31021121121210010102011
430133112020213021
5204431131014100
610054423535521
7653221621342
oct143726104711
937547703364
1013410798025
115762056059
1227232ba5a1
131359524161
149131410c9
15537549bba
hex31f5889c9

13410798025 has 81 divisors (see below), whose sum is σ = 18699635829. Its totient is φ = 9538626240.

The previous prime is 13410797993. The next prime is 13410798031. The reversal of 13410798025 is 52089701431.

The square root of 13410798025 is 115805.

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

13410798025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 101022601 + 13309775424 = 10051^2 + 115368^2 .

It is not a de Polignac number, because 13410798025 - 25 = 13410797993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 253033899 + ... + 253033951.

Almost surely, 213410798025 is an apocalyptic number.

13410798025 is the 115805-th square number.

13410798025 is the 57903-rd centered octagonal number.

It is an amenable number.

13410798025 is a deficient number, since it is larger than the sum of its proper divisors (5288837804).

13410798025 is an equidigital number, since it uses as much as digits as its factorization.

13410798025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 13410798025 in words is "thirteen billion, four hundred ten million, seven hundred ninety-eight thousand, twenty-five".

Divisors: 1 5 19 23 25 53 95 115 265 361 437 475 529 575 1007 1219 1325 1805 2185 2645 2809 5035 6095 8303 9025 10051 10925 13225 14045 19133 23161 25175 28037 30475 41515 50255 53371 64607 70225 95665 115805 140185 190969 207575 251275 266855 323035 440059 478325 532703 579025 700925 954845 1014049 1227533 1334275 1485961 1615175 2200295 2663515 4774225 5070245 6137665 7429805 10121357 11001475 13317575 23323127 25351225 28233259 30688325 37149025 50606785 116615635 141166295 253033925 536431921 583078175 705831475 2682159605 13410798025