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2480275067300 = 2252173523327397
BaseRepresentation
bin100100000101111011111…
…010100001000110100100
322210010000122010011100122
4210011323322201012210
5311114100404123200
65135231142301112
7344123346135122
oct44057372410644
98703018104318
102480275067300
11876973684408
1234083b127798
1314cb72cb5924
1488090150912
15447b70cb385
hex2417bea11a4

2480275067300 has 72 divisors (see below), whose sum is σ = 5414539942056. Its totient is φ = 986150799360.

The previous prime is 2480275067299. The next prime is 2480275067339. The reversal of 2480275067300 is 37605720842.

It can be written as a sum of positive squares in 12 ways, for example, as 31156486144 + 2449118581156 = 176512^2 + 1564966^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 90517202 + ... + 90544598.

Almost surely, 22480275067300 is an apocalyptic number.

2480275067300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2480275067300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707269971028).

2480275067300 is an abundant number, since it is smaller than the sum of its proper divisors (2934264874756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2480275067300 is a wasteful number, since it uses less digits than its factorization.

2480275067300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32817 (or 32810 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 2480275067300 in words is "two trillion, four hundred eighty billion, two hundred seventy-five million, sixty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3460 4325 5233 8650 10466 17300 20932 26165 27397 52330 54794 104660 109588 130825 136985 261650 273970 523300 547940 684925 905309 1369850 1810618 2739700 3621236 4526545 4739681 9053090 9479362 18106180 18958724 22632725 23698405 45265450 47396810 90530900 94793620 118492025 143368501 236984050 286737002 473968100 573474004 716842505 1433685010 2867370020 3584212525 7168425050 14336850100 24802750673 49605501346 99211002692 124013753365 248027506730 496055013460 620068766825 1240137533650 2480275067300