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493522606080 = 2113457212143
BaseRepresentation
bin1110010111010000011…
…11010101100000000000
31202011212102212000020000
413023220033111200000
531041213241343310
61014415434120000
750440643636100
oct7135017254000
91664772760200
10493522606080
11180335710589
127b793880000
13377011b35ca
1419c5ac65200
15cc8714a4c0
hex72e83d5800

493522606080 has 720 divisors, whose sum is σ = 2057913617760. Its totient is φ = 112795877376.

The previous prime is 493522606051. The next prime is 493522606097. The reversal of 493522606080 is 80606225394.

493522606080 is a `hidden beast` number, since 4 + 9 + 3 + 522 + 60 + 60 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40636489 + ... + 40648631.

It is an arithmetic number, because the mean of its divisors is an integer number (2858213358).

Almost surely, 2493522606080 is an apocalyptic number.

493522606080 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 493522606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028956808880).

493522606080 is an abundant number, since it is smaller than the sum of its proper divisors (1564391011680).

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

493522606080 is a wasteful number, since it uses less digits than its factorization.

493522606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12196 (or 12160 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 493522606080 in words is "four hundred ninety-three billion, five hundred twenty-two million, six hundred six thousand, eighty".