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775606069225 = 521321727972
BaseRepresentation
bin10110100100101011011…
…10010110011111101001
32202010222022122122212001
423102111232112133221
5100201420123203400
61352150345451001
7110015145545221
oct13222556263751
92663868578761
10775606069225
11279a29451529
12106398aa0a61
13581a7185400
142977a6a5081
151529693aa6a
hexb495b967e9

775606069225 has 81 divisors (see below), whose sum is σ = 1107676787277. Its totient is φ = 538387399680.

The previous prime is 775606069219. The next prime is 775606069283. The reversal of 775606069225 is 522960606577.

The square root of 775606069225 is 880685.

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

It can be written as a sum of positive squares in 40 ways, for example, as 727330948569 + 48275120656 = 852837^2 + 219716^2 .

It is not a de Polignac number, because 775606069225 - 219 = 775605544937 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 (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 973156527 + ... + 973157323.

Almost surely, 2775606069225 is an apocalyptic number.

775606069225 is the 880685-th square number.

775606069225 is the 440343-rd centered octagonal number.

It is an amenable number.

775606069225 is a deficient number, since it is larger than the sum of its proper divisors (332070718052).

775606069225 is an equidigital number, since it uses as much as digits as its factorization.

775606069225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 55.

The spelling of 775606069225 in words is "seven hundred seventy-five billion, six hundred six million, sixty-nine thousand, two hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 169 221 289 325 425 797 845 1105 1445 2873 3757 3985 4225 5525 7225 10361 13549 14365 18785 19925 48841 51805 67745 71825 93925 134693 176137 230333 244205 259025 338725 635209 673465 880685 1151665 1221025 2289781 2994329 3176045 3367325 4403425 5758325 8257717 10798553 11448905 14971645 15880225 38926277 41288585 53992765 57244525 74858225 107350321 140381189 183575401 194631385 206442925 269963825 536751605 701905945 917877005 973156925 1824955457 2386480213 2683758025 3509529725 4589385025 9124777285 11932401065 31024242769 45623886425 59662005325 155121213845 775606069225