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85241549043225 = 32526155092
BaseRepresentation
bin10011011000011011011000…
…010000000011011000011001
3102011211000100010002220212100
4103120123120100003120121
542133044143023340400
6501143232123234013
723645333022636351
oct2330333020033031
9364730303086770
1085241549043225
1125184813212a53
129688472378909
1338743221cbc13
1417099da617b61
159cc4dd09c100
hex4d86d8403619

85241549043225 has 27 divisors (see below), whose sum is σ = 152677333670173. Its totient is φ = 45462085628640.

The previous prime is 85241549043223. The next prime is 85241549043239. The reversal of 85241549043225 is 52234094514258.

The square root of 85241549043225 is 9232635.

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

85241549043225 is a `hidden beast` number, since 8 + 5 + 2 + 41 + 549 + 0 + 4 + 32 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9014820095961 + 76226728947264 = 3002469^2 + 8730792^2 .

It is not a de Polignac number, because 85241549043225 - 21 = 85241549043223 is a prime.

It is a super-2 number, since 2×852415490432252 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85241549043223) by changing a digit.

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, 138181771 + ... + 138797279.

Almost surely, 285241549043225 is an apocalyptic number.

85241549043225 is the 9232635-th square number.

85241549043225 is the 4616318-th centered octagonal number.

It is an amenable number.

85241549043225 is a deficient number, since it is larger than the sum of its proper divisors (67435784626948).

85241549043225 is an frugal number, since it uses more digits than its factorization.

85241549043225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231034 (or 615517 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 85241549043225 in words is "eighty-five trillion, two hundred forty-one billion, five hundred forty-nine million, forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 615509 1846527 3077545 5539581 9232635 15387725 27697905 46163175 138489525 378851329081 1136553987243 1894256645405 3409661961729 5682769936215 9471283227025 17048309808645 28413849681075 85241549043225