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162396910225 = 521121724312
BaseRepresentation
bin1001011100111110011…
…1000011001010010001
3120112011201102210200201
42113033213003022101
510130042102111400
6202334253215201
714506226650444
oct2271747031221
9515151383621
10162396910225
1162965905300
1227582491501
1312410a130b4
147c07dab65b
15435710306a
hex25cf9c3291

162396910225 has 81 divisors (see below), whose sum is σ = 235675837873. Its totient is φ = 110901472000.

The previous prime is 162396910199. The next prime is 162396910229. The reversal of 162396910225 is 522019693261.

The square root of 162396910225 is 402985.

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

162396910225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3798626689 + 158598283536 = 61633^2 + 398244^2 .

It is not a de Polignac number, because 162396910225 - 215 = 162396877457 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (162396910229) 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 80 ways as a sum of consecutive naturals, for example, 376790760 + ... + 376791190.

Almost surely, 2162396910225 is an apocalyptic number.

162396910225 is the 402985-th square number.

162396910225 is the 201493-rd centered octagonal number.

It is an amenable number.

162396910225 is a deficient number, since it is larger than the sum of its proper divisors (73278927648).

162396910225 is an equidigital number, since it uses as much as digits as its factorization.

162396910225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 162396910225 in words is "one hundred sixty-two billion, three hundred ninety-six million, nine hundred ten thousand, two hundred twenty-five".

Divisors: 1 5 11 17 25 55 85 121 187 275 289 425 431 605 935 1445 2057 2155 3025 3179 4675 4741 7225 7327 10285 10775 15895 23705 34969 36635 51425 52151 79475 80597 118525 124559 174845 183175 185761 260755 402985 622795 874225 886567 928805 1303775 1370149 2014925 2043371 3113975 3157937 4432835 4644025 6850745 10216855 15071639 15789685 22164175 22477081 34253725 34737307 51084275 53684929 75358195 78948425 112385405 173686535 268424645 376790975 382110377 561927025 590534219 868432675 1342123225 1910551885 2952671095 6495876409 9552759425 14763355475 32479382045 162396910225