Search a number
-
+
486130325760 = 283652322651
BaseRepresentation
bin1110001001011111010…
…00000001100100000000
31201110210020222021000000
413010233220001210000
530431043330411020
61011154124000000
750056522406322
oct7045750014400
91643706867000
10486130325760
11178191993a02
127a270090000
1336ac383ca41
1419759193612
15c9a3195090
hex712fa01900

486130325760 has 504 divisors, whose sum is σ = 1821839471424. Its totient is φ = 123992985600.

The previous prime is 486130325731. The next prime is 486130325777. The reversal of 486130325760 is 67523031684.

486130325760 is a `hidden beast` number, since 4 + 8 + 613 + 0 + 3 + 25 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 21450435 + ... + 21473085.

It is an arithmetic number, because the mean of its divisors is an integer number (3614760856).

Almost surely, 2486130325760 is an apocalyptic number.

486130325760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486130325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910919735712).

486130325760 is an abundant number, since it is smaller than the sum of its proper divisors (1335709145664).

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

486130325760 is an equidigital number, since it uses as much as digits as its factorization.

486130325760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22713 (or 22684 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 486130325760 in words is "four hundred eighty-six billion, one hundred thirty million, three hundred twenty-five thousand, seven hundred sixty".