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487013304960 = 2732572132329199
BaseRepresentation
bin1110001011001000100…
…00010100101010000000
31201120001210110020202100
413011210100110222000
530434400401224320
61011421505150400
750120433534600
oct7054420245200
91646053406670
10487013304960
111785a5350286
127a47792b400
1336c04757040
141980055cc00
15ca0595d790
hex7164414a80

487013304960 has 2304 divisors, whose sum is σ = 2285599680000. Its totient is φ = 94420795392.

The previous prime is 487013304929. The next prime is 487013304977. The reversal of 487013304960 is 69403310784.

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

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 287 ways as a sum of consecutive naturals, for example, 2447302941 + ... + 2447303139.

It is an arithmetic number, because the mean of its divisors is an integer number (992013750).

Almost surely, 2487013304960 is an apocalyptic number.

487013304960 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 487013304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142799840000).

487013304960 is an abundant number, since it is smaller than the sum of its proper divisors (1798586375040).

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

487013304960 is a wasteful number, since it uses less digits than its factorization.

487013304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 487013304960 in words is "four hundred eighty-seven billion, thirteen million, three hundred four thousand, nine hundred sixty".