Search a number
-
+
502668925460 = 2251321217122201
BaseRepresentation
bin1110101000010010110…
…01110001101000010100
31210001110212021011200122
413110021121301220110
531213431221103320
61022531203331112
751213414240212
oct7241131615024
91701425234618
10502668925460
111841a955a719
1281506980a98
133852b074400
141a487887cb2
15d1200cad25
hex7509671a14

502668925460 has 72 divisors (see below), whose sum is σ = 1143999888696. Its totient is φ = 185446809600.

The previous prime is 502668925459. The next prime is 502668925463. The reversal of 502668925460 is 64529866205.

It can be written as a sum of positive squares in 12 ways, for example, as 161465741584 + 341203183876 = 401828^2 + 584126^2 .

It is a super-2 number, since 2×5026689254602 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502668925463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4052360 + ... + 4174560.

It is an arithmetic number, because the mean of its divisors is an integer number (15888887343).

Almost surely, 2502668925460 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 502668925460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571999944348).

502668925460 is an abundant number, since it is smaller than the sum of its proper divisors (641330963236).

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

502668925460 is a wasteful number, since it uses less digits than its factorization.

502668925460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123453 (or 123438 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 53.

The spelling of 502668925460 in words is "five hundred two billion, six hundred sixty-eight million, nine hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1217 1690 2434 3380 4868 6085 12170 15821 24340 31642 63284 79105 122201 158210 205673 244402 316420 411346 488804 611005 822692 1028365 1222010 1588613 2056730 2444020 3177226 4113460 6354452 7943065 15886130 20651969 31772260 41303938 82607876 103259845 148718617 206519690 297437234 413039380 594874468 743593085 1487186170 1933342021 2974372340 3866684042 7733368084 9666710105 19333420210 25133446273 38666840420 50266892546 100533785092 125667231365 251334462730 502668925460