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10769250625 = 54725932
BaseRepresentation
bin10100000011110010…
…11011100101000001
31000210112020121121021
422001321123211001
5134023412010000
64540342225441
7530605056100
oct120171334501
930715217537
1010769250625
114626a63431
122106725281
131028195263
147423a6037
154306ae11a
hex281e5b941

10769250625 has 45 divisors (see below), whose sum is σ = 15680801631. Its totient is φ = 7372176000.

The previous prime is 10769250619. The next prime is 10769250629. The reversal of 10769250625 is 52605296701.

The square root of 10769250625 is 103775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 7158682881 + 3610567744 = 84609^2 + 60088^2 .

It is not a de Polignac number, because 10769250625 - 217 = 10769119553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10769250629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18160329 + ... + 18160921.

Almost surely, 210769250625 is an apocalyptic number.

10769250625 is the 103775-th square number.

10769250625 is the 51888-th centered octagonal number.

It is an amenable number.

10769250625 is a deficient number, since it is larger than the sum of its proper divisors (4911551006).

10769250625 is an frugal number, since it uses more digits than its factorization.

10769250625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 10769250625 in words is "ten billion, seven hundred sixty-nine million, two hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 593 625 875 1225 2965 4151 4375 6125 14825 20755 29057 30625 74125 103775 145285 351649 370625 518875 726425 1758245 2461543 2594375 3632125 8791225 12307715 17230801 18160625 43956125 61538575 86154005 219780625 307692875 430770025 1538464375 2153850125 10769250625