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4481253434880 = 2935543233719
BaseRepresentation
bin100000100110101111110…
…0001001110011000000000
3120212101220020221020100000
41001031133201032120000
51041410101334404010
613310354233200000
7641521431465615
oct101153741163000
916771806836300
104481253434880
111478541813242
126045b6860000
13266771151a11
14116c7291a50c
157b87ae157c0
hex4135f84e600

4481253434880 has 960 divisors, whose sum is σ = 16562629923840. Its totient is φ = 1160584298496.

The previous prime is 4481253434869. The next prime is 4481253434953. The reversal of 4481253434880 is 884343521844.

4481253434880 is a `hidden beast` number, since 4 + 4 + 8 + 125 + 3 + 434 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×44812534348802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 6232619161 + ... + 6232619879.

It is an arithmetic number, because the mean of its divisors is an integer number (17252739504).

Almost surely, 24481253434880 is an apocalyptic number.

4481253434880 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 4481253434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8281314961920).

4481253434880 is an abundant number, since it is smaller than the sum of its proper divisors (12081376488960).

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

4481253434880 is an equidigital number, since it uses as much as digits as its factorization.

4481253434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 4481253434880 in words is "four trillion, four hundred eighty-one billion, two hundred fifty-three million, four hundred thirty-four thousand, eight hundred eighty".