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85471446025 = 527283532
BaseRepresentation
bin100111110011001111…
…1101100010000001001
322011121122121022221001
41033212133230100021
52400021142233100
6103133125415001
76114030206200
oct1174637542011
9264548538831
1085471446025
11332804484a9
121469426a461
1380a185ba44
1441cb6bc237
1523539ecd6a
hex13e67ec409

85471446025 has 27 divisors (see below), whose sum is σ = 123302961621. Its totient is φ = 58601975040.

The previous prime is 85471446019. The next prime is 85471446061. The reversal of 85471446025 is 52064417458.

The square root of 85471446025 is 292355.

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 36832761 + 85434613264 = 6069^2 + 292292^2 .

It is not a de Polignac number, because 85471446025 - 215 = 85471413257 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10228249 + ... + 10236601.

Almost surely, 285471446025 is an apocalyptic number.

85471446025 is the 292355-th square number.

85471446025 is the 146178-th centered octagonal number.

It is an amenable number.

85471446025 is a deficient number, since it is larger than the sum of its proper divisors (37831515596).

85471446025 is an frugal number, since it uses more digits than its factorization.

85471446025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16730 (or 8365 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 46.

The spelling of 85471446025 in words is "eighty-five billion, four hundred seventy-one million, four hundred forty-six thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 8353 41765 58471 208825 292355 409297 1461775 2046485 10232425 69772609 348863045 488408263 1744315225 2442041315 3418857841 12210206575 17094289205 85471446025