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4068348480 = 2632572127227
BaseRepresentation
bin1111001001111110…
…0001001001000000
3101111112022111221100
43302133201021000
531312444122410
61511410454400
7202550251200
oct36237411100
911445274840
104068348480
1117a8527479
12956594400
134cab325c1
142a8466400
1518c2768c0
hexf27e1240

4068348480 has 504 divisors, whose sum is σ = 16478512128. Its totient is φ = 918521856.

The previous prime is 4068348469. The next prime is 4068348499. The reversal of 4068348480 is 848438604.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17922127 + ... + 17922353.

Almost surely, 24068348480 is an apocalyptic number.

4068348480 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 4068348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8239256064).

4068348480 is an abundant number, since it is smaller than the sum of its proper divisors (12410163648).

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

4068348480 is a wasteful number, since it uses less digits than its factorization.

4068348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4068348480 is about 63783.6066713070. The cubic root of 4068348480 is about 1596.3914090800.

The spelling of 4068348480 in words is "four billion, sixty-eight million, three hundred forty-eight thousand, four hundred eighty".