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26498956225 = 527246512
BaseRepresentation
bin11000101011011101…
…011111101111000001
32112101202110110012011
4120223131133233001
5413232213044400
620101244332521
71625445261100
oct305335375701
975352413164
1026498956225
1110268a74025
125176544141
132663c51671
1413d5498037
15a515b28ba
hex62b75fbc1

26498956225 has 27 divisors (see below), whose sum is σ = 38231612451. Its totient is φ = 18166806000.

The previous prime is 26498956177. The next prime is 26498956243. The reversal of 26498956225 is 52265989462.

It is a happy number.

The square root of 26498956225 is 162785.

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., 9539624241 + 16959331984 = 97671^2 + 130228^2 .

It is not a de Polignac number, because 26498956225 - 27 = 26498956097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26498956225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5695150 + ... + 5699800.

Almost surely, 226498956225 is an apocalyptic number.

26498956225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26498956225 is the 162785-th square number.

26498956225 is the 81393-rd centered octagonal number.

It is an amenable number.

26498956225 is a deficient number, since it is larger than the sum of its proper divisors (11732656226).

26498956225 is an frugal number, since it uses more digits than its factorization.

26498956225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9326 (or 4663 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 58.

The spelling of 26498956225 in words is "twenty-six billion, four hundred ninety-eight million, nine hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 4651 23255 32557 116275 162785 227899 813925 1139495 5697475 21631801 108159005 151422607 540795025 757113035 1059958249 3785565175 5299791245 26498956225