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4483112804352 = 21333721347677
BaseRepresentation
bin100000100111100111001…
…0110001010000000000000
3120212120200211122222202000
41001033032112022000000
51041422403334214402
613311302534024000
7641615500043100
oct101171626120000
916776624588660
104483112804352
111479306338026
12604a354a8000
132669a942aa40
14116dab849200
157b939299c1c
hex413ce58a000

4483112804352 has 1344 divisors, whose sum is σ = 17018733795840. Its totient is φ = 1155493527552.

The previous prime is 4483112804347. The next prime is 4483112804377. The reversal of 4483112804352 is 2534082113844.

4483112804352 is a `hidden beast` number, since 4 + 4 + 8 + 3 + 11 + 280 + 4 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 4483112804298 and 4483112804307.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6622027438 + ... + 6622028114.

It is an arithmetic number, because the mean of its divisors is an integer number (12662748360).

Almost surely, 24483112804352 is an apocalyptic number.

4483112804352 is a gapful number since it is divisible by the number (42) 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 4483112804352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509366897920).

4483112804352 is an abundant number, since it is smaller than the sum of its proper divisors (12535620991488).

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

4483112804352 is a wasteful number, since it uses less digits than its factorization.

4483112804352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 4483112804352 in words is "four trillion, four hundred eighty-three billion, one hundred twelve million, eight hundred four thousand, three hundred fifty-two".