Search a number
-
+
505213042023531 = 32323211736789779
BaseRepresentation
bin111001011011111010001001…
…1111001111101110001101011
32110020210220011112211220020200
41302313310103321331301223
51012204402302224223111
64550255400100123243
7211262303103145212
oct16267642371756153
92406726145756220
10505213042023531
11136a81714388876
12487b5809696523
13188b9501a706ba
148ca862806c079
153d61b3d547256
hex1cb7d13e7dc6b

505213042023531 has 12 divisors (see below), whose sum is σ = 729774750499080. Its totient is φ = 336798273749760.

The previous prime is 505213042023497. The next prime is 505213042023539. The reversal of 505213042023531 is 135320240312505.

505213042023531 is a `hidden beast` number, since 5 + 0 + 52 + 1 + 30 + 4 + 20 + 23 + 531 = 666.

It is not a de Polignac number, because 505213042023531 - 214 = 505213042007147 is a prime.

It is a super-3 number, since 3×5052130420235313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (505213042023539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 868104001 + ... + 868685778.

It is an arithmetic number, because the mean of its divisors is an integer number (60814562541590).

Almost surely, 2505213042023531 is an apocalyptic number.

505213042023531 is a deficient number, since it is larger than the sum of its proper divisors (224561708475549).

505213042023531 is a wasteful number, since it uses less digits than its factorization.

505213042023531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736822106 (or 1736822103 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 505213042023531 in words is "five hundred five trillion, two hundred thirteen billion, forty-two million, twenty-three thousand, five hundred thirty-one".

Divisors: 1 3 9 32321 96963 290889 1736789779 5210369337 15631108011 56134782447059 168404347341177 505213042023531