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5604940800 = 21035521753
BaseRepresentation
bin1010011100001010…
…01001110000000000
3112110121200111100000
411032011021300000
542434331101200
62324101200000
7255616132164
oct51605116000
915417614300
105604940800
11241692aa88
121105100000
136b4297324
143b2572ca4
1522c0ed300
hex14e149c00

5604940800 has 792 divisors, whose sum is σ = 22451594256. Its totient is φ = 1380188160.

The previous prime is 5604940799. The next prime is 5604940801. The reversal of 5604940800 is 80494065.

5604940800 is a `hidden beast` number, since 5 + 604 + 9 + 40 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5604940799) and next prime (5604940801).

It is a super-2 number, since 2×56049408002 = 62830722743009280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5604940801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105753574 + ... + 105753626.

Almost surely, 25604940800 is an apocalyptic number.

5604940800 is a gapful number since it is divisible by the number (50) 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 5604940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11225797128).

5604940800 is an abundant number, since it is smaller than the sum of its proper divisors (16846653456).

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

5604940800 is a wasteful number, since it uses less digits than its factorization.

5604940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5604940800 is about 74866.1525657623. The cubic root of 5604940800 is about 1776.3301066448.

The spelling of 5604940800 in words is "five billion, six hundred four million, nine hundred forty thousand, eight hundred".