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115578303040225 = 52292741432
BaseRepresentation
bin11010010001111000101011…
…101100100100101011100001
3120011020011210122212012120201
4122101320223230210223201
5110122113331034241400
61045451534525305201
733226154044152364
oct3221705354445341
9504204718765521
10115578303040225
1133910534a45233
1210b67a23a05201
134c64caab9478c
14207803c1520db
15d566cc08306a
hex691e2bb24ae1

115578303040225 has 27 divisors (see below), whose sum is σ = 148431479269593. Its totient is φ = 89273071369440.

The previous prime is 115578303040153. The next prime is 115578303040231. The reversal of 115578303040225 is 522040303875511.

The square root of 115578303040225 is 10750735.

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 1588686305761 + 113989616734464 = 1260431^2 + 10676592^2 .

It is not a de Polignac number, because 115578303040225 - 221 = 115578300943073 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 26 ways as a sum of consecutive naturals, for example, 1558819504 + ... + 1558893646.

Almost surely, 2115578303040225 is an apocalyptic number.

115578303040225 is the 10750735-th square number.

115578303040225 is the 5375368-th centered octagonal number.

It is an amenable number.

115578303040225 is a deficient number, since it is larger than the sum of its proper divisors (32853176229368).

115578303040225 is an frugal number, since it uses more digits than its factorization.

115578303040225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148354 (or 74177 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 46.

The spelling of 115578303040225 in words is "one hundred fifteen trillion, five hundred seventy-eight billion, three hundred three million, forty thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 841 4205 21025 74143 370715 1853575 2150147 10750735 53753675 62354263 311771315 1558856575 5497184449 27485922245 137429611225 159418349021 797091745105 3985458725525 4623132121609 23115660608045 115578303040225