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482760503820 = 223557261167199
BaseRepresentation
bin1110000011001101100…
…01001011001000001100
31201011002102001120100000
413001212301023020030
530402143142110240
61005435505004300
746610153401500
oct7014661131014
91634072046300
10482760503820
1117681279a8a1
127968b623690
13366a7651c6a
1419519800300
15c8573ee430
hex7066c4b20c

482760503820 has 864 divisors, whose sum is σ = 1815333811200. Its totient is φ = 107344258560.

The previous prime is 482760503791. The next prime is 482760503821. The reversal of 482760503820 is 28305067284.

482760503820 is a `hidden beast` number, since 4 + 8 + 2 + 7 + 60 + 503 + 82 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (482760503821) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2425932081 + ... + 2425932279.

It is an arithmetic number, because the mean of its divisors is an integer number (2101080800).

Almost surely, 2482760503820 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 482760503820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907666905600).

482760503820 is an abundant number, since it is smaller than the sum of its proper divisors (1332573307380).

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

482760503820 is a wasteful number, since it uses less digits than its factorization.

482760503820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 482760503820 in words is "four hundred eighty-two billion, seven hundred sixty million, five hundred three thousand, eight hundred twenty".