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12542314500 = 2232532787181
BaseRepresentation
bin10111010111001010…
…01000100000000100
31012101002120120222200
423223211020200010
5201141313031000
65432321154500
7622544625402
oct135345104004
935332516880
1012542314500
11535689a581
12252048ba30
13124b613a91
1486da6a472
154d6196500
hex2eb948804

12542314500 has 72 divisors (see below), whose sum is σ = 39566835672. Its totient is φ = 3344616000.

The previous prime is 12542314453. The next prime is 12542314513. The reversal of 12542314500 is 541324521.

12542314500 is a `hidden beast` number, since 125 + 4 + 2 + 31 + 4 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 210656196 + 12331658304 = 14514^2 + 111048^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1389091 + ... + 1398090.

Almost surely, 212542314500 is an apocalyptic number.

12542314500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12542314500 is an abundant number, since it is smaller than the sum of its proper divisors (27024521172).

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

12542314500 is a wasteful number, since it uses less digits than its factorization.

12542314500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787206 (or 2787191 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 12542314500 in words is "twelve billion, five hundred forty-two million, three hundred fourteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 4500 2787181 5574362 8361543 11148724 13935905 16723086 25084629 27871810 33446172 41807715 50169258 55743620 69679525 83615430 100338516 125423145 139359050 167230860 209038575 250846290 278718100 348397625 418077150 501692580 627115725 696795250 836154300 1045192875 1254231450 1393590500 2090385750 2508462900 3135578625 4180771500 6271157250 12542314500