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489509766720 = 263351317256363
BaseRepresentation
bin1110001111110010000…
…11100100011001000000
31201210111202222122111000
413013321003210121000
531010004000013340
61012513325052000
750236336236012
oct7077103443100
91653452878430
10489509766720
11179666557a17
127aa539b7000
1337211a17b50
1419999d2c1b2
15caeebdad30
hex71f90e4640

489509766720 has 448 divisors, whose sum is σ = 1969121629440. Its totient is φ = 113406345216.

The previous prime is 489509766677. The next prime is 489509766743. The reversal of 489509766720 is 27667905984.

489509766720 is a `hidden beast` number, since 48 + 9 + 509 + 7 + 6 + 67 + 20 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1781259 + ... + 2037621.

It is an arithmetic number, because the mean of its divisors is an integer number (4395360780).

Almost surely, 2489509766720 is an apocalyptic number.

489509766720 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 489509766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984560814720).

489509766720 is an abundant number, since it is smaller than the sum of its proper divisors (1479611862720).

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

489509766720 is a wasteful number, since it uses less digits than its factorization.

489509766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256419 (or 256403 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 489509766720 in words is "four hundred eighty-nine billion, five hundred nine million, seven hundred sixty-six thousand, seven hundred twenty".