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4419523680 = 2535111331267
BaseRepresentation
bin1000001110110110…
…01001010001100000
3102102000010001202020
410013123021101200
533022344224210
62010313421440
7214343221455
oct40733112140
912360101666
104419523680
111968784610
12a3410a880
1355580a690
142dcd5b82c
151acee3770
hex1076c9460

4419523680 has 576 divisors, whose sum is σ = 17152176384. Its totient is φ = 942796800.

The previous prime is 4419523651. The next prime is 4419523687. The reversal of 4419523680 is 863259144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4419523687) 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 95 ways as a sum of consecutive naturals, for example, 65963007 + ... + 65963073.

It is an arithmetic number, because the mean of its divisors is an integer number (29778084).

Almost surely, 24419523680 is an apocalyptic number.

4419523680 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 4419523680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8576088192).

4419523680 is an abundant number, since it is smaller than the sum of its proper divisors (12732652704).

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

4419523680 is a wasteful number, since it uses less digits than its factorization.

4419523680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 4419523680 is about 66479.4981930520. The cubic root of 4419523680 is about 1641.0626268163.

The spelling of 4419523680 in words is "four billion, four hundred nineteen million, five hundred twenty-three thousand, six hundred eighty".