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493287286272 = 29311247149379
BaseRepresentation
bin1110010110110100011…
…01101010011000000000
31202011021001001112010120
413023122031222120000
531040223021130042
61014340230300240
750432055515364
oct7133215523000
91664231045116
10493287286272
111802248a4300
127b728ab7680
1337694510b11
1419c378cb2a4
15cc71665dec
hex72da36a600

493287286272 has 480 divisors, whose sum is σ = 1489029696000. Its totient is φ = 144935239680.

The previous prime is 493287286169. The next prime is 493287286279. The reversal of 493287286272 is 272682782394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493287286279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1301549379 + ... + 1301549757.

It is an arithmetic number, because the mean of its divisors is an integer number (3102145200).

Almost surely, 2493287286272 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 493287286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744514848000).

493287286272 is an abundant number, since it is smaller than the sum of its proper divisors (995742409728).

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

493287286272 is a wasteful number, since it uses less digits than its factorization.

493287286272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 591 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 60.

The spelling of 493287286272 in words is "four hundred ninety-three billion, two hundred eighty-seven million, two hundred eighty-six thousand, two hundred seventy-two".