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26216467225 = 52132472532
BaseRepresentation
bin11000011010100111…
…111000101100011001
32111200001220112010121
4120122213320230121
5412142403422400
620013233513241
71615445203024
oct303247705431
974601815117
1026216467225
111013356a943
1250b7a12821
13261a575100
1413a9b621bb
15a368b221a
hex61a9f8b19

26216467225 has 81 divisors (see below), whose sum is σ = 36657740343. Its totient is φ = 18590432640.

The previous prime is 26216467213. The next prime is 26216467231. The reversal of 26216467225 is 52276461262.

The square root of 26216467225 is 161915.

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

It can be written as a sum of positive squares in 13 ways, for example, as 20589667081 + 5626800144 = 143491^2 + 75012^2 .

It is not a de Polignac number, because 26216467225 - 215 = 26216434457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 494650299 + ... + 494650351.

Almost surely, 226216467225 is an apocalyptic number.

26216467225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26216467225 is the 161915-th square number.

26216467225 is the 80958-th centered octagonal number.

It is an amenable number.

26216467225 is a deficient number, since it is larger than the sum of its proper divisors (10441273118).

26216467225 is an equidigital number, since it uses as much as digits as its factorization.

26216467225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The spelling of 26216467225 in words is "twenty-six billion, two hundred sixteen million, four hundred sixty-seven thousand, two hundred twenty-five".

Divisors: 1 5 13 25 47 53 65 169 235 265 325 611 689 845 1175 1325 2209 2491 2809 3055 3445 4225 7943 8957 11045 12455 14045 15275 17225 28717 32383 36517 39715 44785 55225 62275 70225 117077 132023 143585 161915 182585 198575 223925 373321 420979 474721 585385 660115 717925 809575 912925 1522001 1716299 1866605 2104895 2373605 2926925 3300575 6205081 7610005 8581495 9333025 10524475 11868025 19786013 22311887 31025405 38050025 42907475 80666053 98930065 111559435 155127025 403330265 494650325 557797175 1048658689 2016651325 5243293445 26216467225