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482828664448 = 27131731217761
BaseRepresentation
bin1110000011010101101…
…01001011111010000000
31201011021011022111010201
413001222311023322000
530402313114230243
61005450341534544
746611641634514
oct7015265137200
91634234274121
10482828664448
11176848214999
12796aa414454
13366b87c84b0
14195248a4144
15c85d3b504d
hex706ad4be80

482828664448 has 192 divisors, whose sum is σ = 1133396417160. Its totient is φ = 202958438400.

The previous prime is 482828664401. The next prime is 482828664457. The reversal of 482828664448 is 844466828284.

It can be written as a sum of positive squares in 4 ways, for example, as 365870136384 + 116958528064 = 604872^2 + 341992^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 482828664448.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27175888 + ... + 27193648.

Almost surely, 2482828664448 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 482828664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566698208580).

482828664448 is an abundant number, since it is smaller than the sum of its proper divisors (650567752712).

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

482828664448 is a wasteful number, since it uses less digits than its factorization.

482828664448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17867 (or 17824 counting only the distinct ones).

The product of its digits is 150994944, while the sum is 64.

The spelling of 482828664448 in words is "four hundred eighty-two billion, eight hundred twenty-eight million, six hundred sixty-four thousand, four hundred forty-eight".