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4482876068352 = 2937111779271
BaseRepresentation
bin100000100111100000000…
…1111000101001000000000
3120212120002100012120000000
41001033000033011020000
51041421412233141402
613311223240000000
7641606563603503
oct101170017051000
916776070176000
104482876068352
1114791a4743840
1260498a160000
1326696c380776
14116d8822313a
157b9235d5c1c
hex413c03c5200

4482876068352 has 1280 divisors, whose sum is σ = 15771104870400. Its totient is φ = 1257696460800.

The previous prime is 4482876068329. The next prime is 4482876068353. The reversal of 4482876068352 is 2538606782844.

4482876068352 is a `hidden beast` number, since 4 + 482 + 8 + 7 + 60 + 68 + 35 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4482876068352.

It is not an unprimeable number, because it can be changed into a prime (4482876068353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16541977977 + ... + 16541978247.

It is an arithmetic number, because the mean of its divisors is an integer number (12321175680).

Almost surely, 24482876068352 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 4482876068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7885552435200).

4482876068352 is an abundant number, since it is smaller than the sum of its proper divisors (11288228802048).

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

4482876068352 is an equidigital number, since it uses as much as digits as its factorization.

4482876068352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 4482876068352 in words is "four trillion, four hundred eighty-two billion, eight hundred seventy-six million, sixty-eight thousand, three hundred fifty-two".