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26671789225 = 528923672
BaseRepresentation
bin11000110101110000…
…110011010010101001
32112211210200021111101
4120311300303102221
5414110434223400
620130341001401
71632644316304
oct306560632251
975753607441
1026671789225
1110347591014
1252043b3261
1326909b6303
141410407b3b
15a6185256a
hex635c334a9

26671789225 has 27 divisors (see below), whose sum is σ = 33540190437. Its totient is φ = 21040198080.

The previous prime is 26671789223. The next prime is 26671789237. The reversal of 26671789225 is 52298717662.

The square root of 26671789225 is 163315.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5550399001 + 21121390224 = 74501^2 + 145332^2 .

It is not a de Polignac number, because 26671789225 - 21 = 26671789223 is a prime.

It is a super-2 number, since 2×266717892252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26671789223) 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 26 ways as a sum of consecutive naturals, for example, 72674992 + ... + 72675358.

Almost surely, 226671789225 is an apocalyptic number.

26671789225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26671789225 is the 163315-th square number.

26671789225 is the 81658-th centered octagonal number.

It is an amenable number.

26671789225 is a deficient number, since it is larger than the sum of its proper divisors (6868401212).

26671789225 is an frugal number, since it uses more digits than its factorization.

26671789225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 461 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 55.

The spelling of 26671789225 in words is "twenty-six billion, six hundred seventy-one million, seven hundred eighty-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 89 367 445 1835 2225 7921 9175 32663 39605 134689 163315 198025 673445 816575 2907007 3367225 11987321 14535035 59936605 72675175 299683025 1066871569 5334357845 26671789225