Search a number
-
+
453503252000 = 2553523721649
BaseRepresentation
bin1101001100101101110…
…01100111011000100000
31121100120102101011220202
412212112321213120200
524412233313031000
6544200404324332
744523143016311
oct6462671473040
91540512334822
10453503252000
11165369843537
1273a853a36a8
13339c4115936
1417d41c9a608
15bbe3adddd5
hex6996e67620

453503252000 has 96 divisors (see below), whose sum is σ = 1114521735600. Its totient is φ = 181358284800.

The previous prime is 453503251987. The next prime is 453503252039. The reversal of 453503252000 is 252305354.

It can be written as a sum of positive squares in 8 ways, for example, as 42996510736 + 410506741264 = 207356^2 + 640708^2 .

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 15 ways as a sum of consecutive naturals, for example, 20937176 + ... + 20958824.

Almost surely, 2453503252000 is an apocalyptic number.

453503252000 is a gapful number since it is divisible by the number (40) 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 453503252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557260867800).

453503252000 is an abundant number, since it is smaller than the sum of its proper divisors (661018483600).

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

453503252000 is a wasteful number, since it uses less digits than its factorization.

453503252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26911 (or 26893 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 29.

Adding to 453503252000 its reverse (252305354), we get a palindrome (453755557354).

The spelling of 453503252000 in words is "four hundred fifty-three billion, five hundred three million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 5237 10474 20948 21649 26185 41896 43298 52370 83792 86596 104740 108245 130925 167584 173192 209480 216490 261850 346384 418960 432980 523700 541225 654625 692768 837920 865960 1047400 1082450 1309250 1731920 2094800 2164900 2618500 2706125 3463840 4189600 4329800 5237000 5412250 8659600 10474000 10824500 17319200 20948000 21649000 43298000 86596000 113375813 226751626 453503252 566879065 907006504 1133758130 1814013008 2267516260 2834395325 3628026016 4535032520 5668790650 9070065040 11337581300 14171976625 18140130080 22675162600 28343953250 45350325200 56687906500 90700650400 113375813000 226751626000 453503252000