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2482093117156 = 22412192132
BaseRepresentation
bin100100000111101000010…
…001110100111011100100
322210021201100002122220111
4210013220101310323210
5311131311314222111
65140131405342404
7344216403250042
oct44075021647344
98707640078814
102482093117156
11877716947154
12341067b67a04
131500a2855583
14881c37a5392
15448719eca21
hex241e8474ee4

2482093117156 has 27 divisors (see below), whose sum is σ = 4452421669563. Its totient is φ = 1210714111680.

The previous prime is 2482093117151. The next prime is 2482093117159. The reversal of 2482093117156 is 6517113902842.

It is a happy number.

The square root of 2482093117156 is 1575466.

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 2778344100 + 2479314773056 = 52710^2 + 1574584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2482093117151) 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 8 ways as a sum of consecutive naturals, for example, 129178606 + ... + 129197818.

It is a 1-persistent number, because it is pandigital, but 2⋅2482093117156 = 4964186234312 is not.

Almost surely, 22482093117156 is an apocalyptic number.

2482093117156 is the 1575466-th square number.

It is an amenable number.

2482093117156 is a deficient number, since it is larger than the sum of its proper divisors (1970328552407).

2482093117156 is an frugal number, since it uses more digits than its factorization.

2482093117156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38512 (or 19256 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 2482093117156 by its sum of digits (49), we get a square (121622562740644 = 110282622).

The spelling of 2482093117156 in words is "two trillion, four hundred eighty-two billion, ninety-three million, one hundred seventeen thousand, one hundred fifty-six".

Divisors: 1 2 4 41 82 164 1681 3362 6724 19213 38426 76852 787733 1575466 3150932 32297053 64594106 129188212 369139369 738278738 1476557476 15134714129 30269428258 60538856516 620523279289 1241046558578 2482093117156