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5040011808 = 253413373401
BaseRepresentation
bin1001011000110100…
…00111101000100000
3111000020200010110000
410230122013220200
540310220334213
62152040540000
7235616251656
oct45432075040
914006603400
105040011808
112156a56517
12b87a81600
1362422a910
1435b518dd6
151e770bc73
hex12c687a20

5040011808 has 240 divisors, whose sum is σ = 16045439256. Its totient is φ = 1542758400.

The previous prime is 5040011773. The next prime is 5040011831. The reversal of 5040011808 is 8081100405.

It can be written as a sum of positive squares in 4 ways, for example, as 4792515984 + 247495824 = 69228^2 + 15732^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 12568408 + ... + 12568808.

Almost surely, 25040011808 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 5040011808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8022719628).

5040011808 is an abundant number, since it is smaller than the sum of its proper divisors (11005427448).

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

5040011808 is a wasteful number, since it uses less digits than its factorization.

5040011808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 5040011808 is about 70993.0405603253. The cubic root of 5040011808 is about 1714.5251154231.

The spelling of 5040011808 in words is "five billion, forty million, eleven thousand, eight hundred eight".