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484385718960 = 243251131359659
BaseRepresentation
bin1110000110001111010…
…00111000001010110000
31201022021200012001101100
413003013220320022300
530414010221001320
61010305043004400
746665346451163
oct7030750701260
91638250161340
10484385718960
11177477124000
1279a63969700
13368a6275b20
14196315b9ada
15c8eee2e790
hex70c7a382b0

484385718960 has 960 divisors, whose sum is σ = 1962549388800. Its totient is φ = 106395125760.

The previous prime is 484385718941. The next prime is 484385718991. The reversal of 484385718960 is 69817583484.

484385718960 is a `hidden beast` number, since 48 + 438 + 5 + 71 + 8 + 96 + 0 = 666.

It is a super-2 number, since 2×4843857189602 (a number of 24 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 735031111 + ... + 735031769.

It is an arithmetic number, because the mean of its divisors is an integer number (2044322280).

Almost surely, 2484385718960 is an apocalyptic number.

484385718960 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 484385718960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981274694400).

484385718960 is an abundant number, since it is smaller than the sum of its proper divisors (1478163669840).

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

484385718960 is a wasteful number, since it uses less digits than its factorization.

484385718960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 484385718960 in words is "four hundred eighty-four billion, three hundred eighty-five million, seven hundred eighteen thousand, nine hundred sixty".