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4042669824 = 28341931331
BaseRepresentation
bin1111000011110110…
…0011111100000000
3101102201222220110000
43300331203330000
531234410413244
61505052240000
7202116061254
oct36075437400
911381886400
104042669824
111794a88746
12949a70000
134c571152b
142a4ca0264
15189da3169
hexf0f63f00

4042669824 has 360 divisors, whose sum is σ = 13137850880. Its totient is φ = 1231718400.

The previous prime is 4042669801. The next prime is 4042669837. The reversal of 4042669824 is 4289662404.

4042669824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4042669824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12213339 + ... + 12213669.

Almost surely, 24042669824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042669824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568925440).

4042669824 is an abundant number, since it is smaller than the sum of its proper divisors (9095181056).

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

4042669824 is a wasteful number, since it uses less digits than its factorization.

4042669824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4042669824 is about 63581.9929225248. The cubic root of 4042669824 is about 1593.0256095131.

The spelling of 4042669824 in words is "four billion, forty-two million, six hundred sixty-nine thousand, eight hundred twenty-four".