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85494836025 = 325210121932
BaseRepresentation
bin100111110011111100…
…0111010101100111001
322011200021121122222100
41033213320322230321
52400043134223100
6103135323014013
76114433054464
oct1174770725471
9264607548870
1085494836025
1133292673785
12146a006a309
1380a665b191
1441d084a2db
152355abd400
hex13e7e3ab39

85494836025 has 81 divisors (see below), whose sum is σ = 155467417287. Its totient is φ = 44911872000.

The previous prime is 85494835999. The next prime is 85494836027. The reversal of 85494836025 is 52063849458.

The square root of 85494836025 is 292395.

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

85494836025 is a `hidden beast` number, since 8 + 549 + 48 + 36 + 0 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 28216944441 + 57277891584 = 167979^2 + 239328^2 .

It is not a de Polignac number, because 85494836025 - 27 = 85494835897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85494836027) by changing a digit.

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, 442978329 + ... + 442978521.

Almost surely, 285494836025 is an apocalyptic number.

85494836025 is the 292395-th square number.

85494836025 is the 146198-th centered octagonal number.

It is an amenable number.

85494836025 is a deficient number, since it is larger than the sum of its proper divisors (69972581262).

85494836025 is a wasteful number, since it uses less digits than its factorization.

85494836025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 85494836025 in words is "eighty-five billion, four hundred ninety-four million, eight hundred thirty-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 101 193 225 303 505 579 909 965 1515 1737 2525 2895 4545 4825 7575 8685 10201 14475 19493 22725 30603 37249 43425 51005 58479 91809 97465 111747 153015 175437 186245 255025 292395 335241 459045 487325 558735 765075 877185 931225 1461975 1676205 1968793 2295225 2793675 3762149 4385925 5906379 8381025 9843965 11286447 17719137 18810745 29531895 33859341 49219825 56432235 88595685 94053725 147659475 169296705 282161175 379977049 442978425 846483525 1139931147 1899885245 3419793441 5699655735 9499426225 17098967205 28498278675 85494836025