Search a number
-
+
506222617656314 = 21380173242851093
BaseRepresentation
bin111001100011010000010001…
…1010011010111101111111010
32110101101102001121111212110202
41303012200203103113233322
51012322422410110000224
64552351243213442202
7211425243243346046
oct16306404323275772
92411342047455422
10506222617656314
1113733089651a369
12489394024a0362
1318960784b32c30
148d0143c12d026
153d7d02a792eae
hex1cc68234d7bfa

506222617656314 has 16 divisors (see below), whose sum is σ = 817754431634952. Its totient is φ = 233638292973888.

The previous prime is 506222617656211. The next prime is 506222617656317. The reversal of 506222617656314 is 413656716222605.

It can be written as a sum of positive squares in 4 ways, for example, as 338707400040025 + 167515217616289 = 18404005^2 + 12942767^2 .

It is a super-4 number, since 4×5062226176563144 (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 506222617656314.

It is not an unprimeable number, because it can be changed into a prime (506222617656317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119341049 + ... + 123510044.

Almost surely, 2506222617656314 is an apocalyptic number.

506222617656314 is a deficient number, since it is larger than the sum of its proper divisors (311531813978638).

506222617656314 is a wasteful number, since it uses less digits than its factorization.

506222617656314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242931281.

The product of its (nonzero) digits is 21772800, while the sum is 56.

The spelling of 506222617656314 in words is "five hundred six trillion, two hundred twenty-two billion, six hundred seventeen million, six hundred fifty-six thousand, three hundred fourteen".

Divisors: 1 2 13 26 80173 160346 1042249 2084498 242851093 485702186 3157064209 6314128418 19470100679089 38940201358178 253111308828157 506222617656314