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482445282896640 = 283257194725312647
BaseRepresentation
bin110110110110010000000101…
…1101101011110101100000000
32100021012022121021021212000200
41231230200023231132230000
51001213340414410143030
64430024145302245200
7203422343566533630
oct15554401355365400
92307168537255020
10482445282896640
1112a7a3993966438
1246139165126800
131792751998375b
14871c694cc06c0
153ab9797b0cd60
hex1b6c80bb5eb00

482445282896640 has 1728 divisors, whose sum is σ = 2052382982307840. Its totient is φ = 102167592468480.

The previous prime is 482445282896579. The next prime is 482445282896651. The reversal of 482445282896640 is 46698282544284.

It is a happy number.

482445282896640 is a `hidden beast` number, since 4 + 8 + 2 + 4 + 4 + 528 + 2 + 8 + 96 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 182261155797 + ... + 182261158443.

It is an arithmetic number, because the mean of its divisors is an integer number (1187721633280).

Almost surely, 2482445282896640 is an apocalyptic number.

482445282896640 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 482445282896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026191491153920).

482445282896640 is an abundant number, since it is smaller than the sum of its proper divisors (1569937699411200).

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

482445282896640 is a wasteful number, since it uses less digits than its factorization.

482445282896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 1698693120, while the sum is 72.

The spelling of 482445282896640 in words is "four hundred eighty-two trillion, four hundred forty-five billion, two hundred eighty-two million, eight hundred ninety-six thousand, six hundred forty".