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4030064064 = 2633131761173
BaseRepresentation
bin1111000000110101…
…1110010111000000
3101101212021110121000
43300031132113000
531223144022224
61503522132000
7201603656625
oct36015362700
911355243530
104030064064
111788958864
129457b1000
134c2c198c0
142a333c34c
15188c130c9
hexf035e5c0

4030064064 has 448 divisors, whose sum is σ = 13810366080. Its totient is φ = 1141309440.

The previous prime is 4030064033. The next prime is 4030064069. The reversal of 4030064064 is 4604600304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4030064069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23295082 + ... + 23295254.

It is an arithmetic number, because the mean of its divisors is an integer number (30826710).

Almost surely, 24030064064 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 4030064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905183040).

4030064064 is an abundant number, since it is smaller than the sum of its proper divisors (9780302016).

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

4030064064 is a wasteful number, since it uses less digits than its factorization.

4030064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4030064064 is about 63482.7855721533. The cubic root of 4030064064 is about 1591.3681069250.

Adding to 4030064064 its reverse (4604600304), we get a palindrome (8634664368).

The spelling of 4030064064 in words is "four billion, thirty million, sixty-four thousand, sixty-four", and thus it is an eban number.