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4484808000000 = 293656769
BaseRepresentation
bin100000101000011001101…
…1000110100001000000000
3120212202001222110212000000
41001100303120310020000
51041434341322000000
613312143052000000
7642005503005336
oct101206330641000
916782058425000
104484808000000
111479aa6219669
12605229160000
13266bb96b45a3
141170cca3db56
157b9d8000000
hex41433634200

4484808000000 has 980 divisors, whose sum is σ = 16815547062930. Its totient is φ = 1194393600000.

The previous prime is 4484807999977. The next prime is 4484808000011. The reversal of 4484808000000 is 8084844.

It can be written as a sum of positive squares in 7 ways, for example, as 2634206904576 + 1850601095424 = 1623024^2 + 1360368^2 .

It is a super-2 number, since 2×44848080000002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 97 ways as a sum of consecutive naturals, for example, 5831999616 + ... + 5832000384.

Almost surely, 24484808000000 is an apocalyptic number.

4484808000000 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 4484808000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8407773531465).

4484808000000 is an abundant number, since it is smaller than the sum of its proper divisors (12330739062930).

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

4484808000000 is an frugal number, since it uses more digits than its factorization.

4484808000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 4484808000000 in words is "four trillion, four hundred eighty-four billion, eight hundred eight million", and thus it is an aban number.