Search a number
-
+
12484649600 = 27523901453
BaseRepresentation
bin10111010000010010…
…01010001010000000
31012020002001220121122
423220021022022000
5201032032241400
65422501211412
7621244525223
oct135011121200
935202056548
1012484649600
115327294035
122505100b68
13123c6a3937
148661395ba
154d10a5685
hex2e824a280

12484649600 has 48 divisors (see below), whose sum is σ = 30840993870. Its totient is φ = 4993858560.

The previous prime is 12484649509. The next prime is 12484649603. The reversal of 12484649600 is 694648421.

It can be written as a sum of positive squares in 3 ways, for example, as 4993400896 + 7491248704 = 70664^2 + 86552^2 .

It is not an unprimeable number, because it can be changed into a prime (12484649603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1947527 + ... + 1953926.

Almost surely, 212484649600 is an apocalyptic number.

12484649600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12484649600 is an abundant number, since it is smaller than the sum of its proper divisors (18356344270).

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

12484649600 is an equidigital number, since it uses as much as digits as its factorization.

12484649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901477 (or 3901460 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 12484649600 in words is "twelve billion, four hundred eighty-four million, six hundred forty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 3901453 7802906 15605812 19507265 31211624 39014530 62423248 78029060 97536325 124846496 156058120 195072650 249692992 312116240 390145300 499385984 624232480 780290600 1248464960 1560581200 2496929920 3121162400 6242324800 12484649600