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494863810560 = 21534572761
BaseRepresentation
bin1110011001110000010…
…11101000000000000000
31202022022220120020220000
413030320023220000000
531101440113414220
61015200504520000
750516120662200
oct7147013500000
91668286506800
10494863810560
111809637a1339
127baa8a80000
1337886017422
1419d47030400
15cd14c79390
hex73382e8000

494863810560 has 960 divisors, whose sum is σ = 2066520659940. Its totient is φ = 112963092480.

The previous prime is 494863810523. The next prime is 494863810601. The reversal of 494863810560 is 65018368494.

494863810560 is a `hidden beast` number, since 4 + 9 + 4 + 8 + 63 + 8 + 10 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 405840347136 + 89023463424 = 637056^2 + 298368^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 494863810497 and 494863810506.

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 59 ways as a sum of consecutive naturals, for example, 650280580 + ... + 650281340.

Almost surely, 2494863810560 is an apocalyptic number.

494863810560 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 494863810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033260329970).

494863810560 is an abundant number, since it is smaller than the sum of its proper divisors (1571656849380).

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

494863810560 is an frugal number, since it uses more digits than its factorization.

494863810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 494863810560 in words is "four hundred ninety-four billion, eight hundred sixty-three million, eight hundred ten thousand, five hundred sixty".