Search a number
-
+
564731200242 = 232112259288889
BaseRepresentation
bin10000011011111001001…
…10100100001011110010
31222222200002101101121100
420031330212210023302
533223032141401432
61111233421305230
755541364666636
oct10157446441362
91888602341540
10564731200242
111a8557049300
1291547405216
134133bb41121
141d4941a6dc6
15ea538e307c
hex837c9a42f2

564731200242 has 36 divisors (see below), whose sum is σ = 1344931472430. Its totient is φ = 171130666080.

The previous prime is 564731200211. The next prime is 564731200249. The reversal of 564731200242 is 242002137465.

564731200242 is a `hidden beast` number, since 5 + 647 + 3 + 1 + 2 + 0 + 0 + 2 + 4 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 538977690801 + 25753509441 = 734151^2 + 160479^2 .

It is a junction number, because it is equal to n+sod(n) for n = 564731200197 and 564731200206.

It is not an unprimeable number, because it can be changed into a prime (564731200249) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 129642267 + ... + 129646622.

Almost surely, 2564731200242 is an apocalyptic number.

564731200242 is an abundant number, since it is smaller than the sum of its proper divisors (780200272188).

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

564731200242 is a wasteful number, since it uses less digits than its factorization.

564731200242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259288919 (or 259288905 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 564731200242 in words is "five hundred sixty-four billion, seven hundred thirty-one million, two hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 259288889 518577778 777866667 1555733334 2333600001 2852177779 4667200002 5704355558 8556533337 17113066674 25669600011 31373955569 51339200022 62747911138 94121866707 188243733414 282365600121 564731200242