Search a number
-
+
4512815104 = 21171718517
BaseRepresentation
bin1000011001111110…
…00001100000000000
3102122111122202112011
410030333001200000
533220240040404
62023445142304
7216555203230
oct41477014000
912574582464
104512815104
111a06403866
12a5b3ba994
1356bc427c5
1430b4c3cc0
151b62c0604
hex10cfc1800

4512815104 has 96 divisors (see below), whose sum is σ = 10919694240. Its totient is φ = 1820196864.

The previous prime is 4512815071. The next prime is 4512815123. The reversal of 4512815104 is 4015182154.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 234454 + ... + 252970.

It is an arithmetic number, because the mean of its divisors is an integer number (113746815).

Almost surely, 24512815104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4512815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459847120).

4512815104 is an abundant number, since it is smaller than the sum of its proper divisors (6406879136).

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

4512815104 is a wasteful number, since it uses less digits than its factorization.

4512815104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18563 (or 18543 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 4512815104 is about 67177.4895630970. The cubic root of 4512815104 is about 1652.5293443262.

Adding to 4512815104 its reverse (4015182154), we get a palindrome (8527997258).

The spelling of 4512815104 in words is "four billion, five hundred twelve million, eight hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 512 544 896 952 1024 1088 1792 1904 2048 2176 3584 3808 4352 7168 7616 8704 14336 15232 17408 18517 30464 34816 37034 60928 74068 121856 129619 148136 243712 259238 296272 314789 518476 592544 629578 1036952 1185088 1259156 2073904 2203523 2370176 2518312 4147808 4407046 4740352 5036624 8295616 8814092 9480704 10073248 16591232 17628184 18961408 20146496 33182464 35256368 37922816 40292992 66364928 70512736 80585984 132729856 141025472 161171968 265459712 282050944 322343936 564101888 644687872 1128203776 2256407552 4512815104