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482488427520 = 210335111811753
BaseRepresentation
bin1110000010101101000…
…11010010010000000000
31201010101110002122211000
413001112203102100000
530401114014140040
61005352505252000
746600340652231
oct7012643222000
91633343078730
10482488427520
11176693158950
1279614494000
1336663180078
14194d1619088
15c83d5a9130
hex70568d2400

482488427520 has 704 divisors, whose sum is σ = 1881963982080. Its totient is φ = 116254310400.

The previous prime is 482488427503. The next prime is 482488427539. The reversal of 482488427520 is 25724884284.

It is a happy number.

482488427520 is a `hidden beast` number, since 482 + 48 + 84 + 27 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275234964 + ... + 275236716.

Almost surely, 2482488427520 is an apocalyptic number.

482488427520 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 482488427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940981991040).

482488427520 is an abundant number, since it is smaller than the sum of its proper divisors (1399475554560).

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

482488427520 is a wasteful number, since it uses less digits than its factorization.

482488427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 482488427520 in words is "four hundred eighty-two billion, four hundred eighty-eight million, four hundred twenty-seven thousand, five hundred twenty".