Search a number
-
+
505210012042224 = 243234111161408891
BaseRepresentation
bin111001011011111000101111…
…1010011100000001111110000
32110020210121100101101220021210
41302313301133103200033300
51012204330101040322344
64550254135301120120
7211262135031552366
oct16267613723401760
92406717311356253
10505210012042224
11136a803a9aaaa95
12487b51029b9040
13188b913b0bc858
148ca841b89d636
153d61a1252edb9
hex1cb7c5f4e03f0

505210012042224 has 80 divisors (see below), whose sum is σ = 1395086820228864. Its totient is φ = 157152637171200.

The previous prime is 505210012042223. The next prime is 505210012042277. The reversal of 505210012042224 is 422240210012505.

It is a junction number, because it is equal to n+sod(n) for n = 505210012042191 and 505210012042200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505210012042223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5580659182 + ... + 5580749709.

Almost surely, 2505210012042224 is an apocalyptic number.

It is an amenable number.

505210012042224 is an abundant number, since it is smaller than the sum of its proper divisors (889876808186640).

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

505210012042224 is a wasteful number, since it uses less digits than its factorization.

505210012042224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11161408966 (or 11161408960 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 505210012042224 its reverse (422240210012505), we get a palindrome (927450222054729).

The spelling of 505210012042224 in words is "five hundred five trillion, two hundred ten billion, twelve million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 41 46 48 69 82 92 123 138 164 184 246 276 328 368 492 552 656 943 984 1104 1886 1968 2829 3772 5658 7544 11316 15088 22632 45264 11161408891 22322817782 33484226673 44645635564 66968453346 89291271128 133936906692 178582542256 256712404493 267873813384 457617764531 513424808986 535747626768 770137213479 915235529062 1026849617972 1372853293593 1540274426958 1830471058124 2053699235944 2745706587186 3080548853916 3660942116248 4107398471888 5491413174372 6161097707832 7321884232496 10525208584213 10982826348744 12322195415664 21050417168426 21965652697488 31575625752639 42100834336852 63151251505278 84201668673704 126302503010556 168403337347408 252605006021112 505210012042224