Search a number
-
+
4483022420448 = 253511138997467
BaseRepresentation
bin100000100111100100011…
…1101010111100111100000
3120212120110112121000100000
41001033020331113213200
51041422212214423243
613311245544500000
7641613321561135
oct101171075274740
916776415530300
104483022420448
11147926a314290
12604a0b17a600
132669937a3140
14116d9d83c58c
157b9313945d3
hex413c8f579e0

4483022420448 has 1152 divisors, whose sum is σ = 15902509109760. Its totient is φ = 1224492318720.

The previous prime is 4483022420441. The next prime is 4483022420467. The reversal of 4483022420448 is 8440242203844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4483022420441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9599619511 + ... + 9599619977.

It is an arithmetic number, because the mean of its divisors is an integer number (13804261380).

Almost surely, 24483022420448 is an apocalyptic number.

4483022420448 is a gapful number since it is divisible by the number (48) 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 4483022420448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7951254554880).

4483022420448 is an abundant number, since it is smaller than the sum of its proper divisors (11419486689312).

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

4483022420448 is a wasteful number, since it uses less digits than its factorization.

4483022420448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 45.

The spelling of 4483022420448 in words is "four trillion, four hundred eighty-three billion, twenty-two million, four hundred twenty thousand, four hundred forty-eight".