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5504688000 = 273253743127
BaseRepresentation
bin1010010000001101…
…01101111110000000
3112012122001010100100
411020012231332000
542233200004000
62310120322400
7253261035030
oct51006557600
915178033310
105504688000
112375286629
121097613400
13699595746
143a31178c0
152233e8a00
hex1481adf80

5504688000 has 768 divisors, whose sum is σ = 23300259840. Its totient is φ = 1219276800.

The previous prime is 5504687971. The next prime is 5504688047. The reversal of 5504688000 is 8864055.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43343937 + ... + 43344063.

It is an arithmetic number, because the mean of its divisors is an integer number (30338880).

Almost surely, 25504688000 is an apocalyptic number.

5504688000 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 5504688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11650129920).

5504688000 is an abundant number, since it is smaller than the sum of its proper divisors (17795571840).

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

5504688000 is a wasteful number, since it uses less digits than its factorization.

5504688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5504688000 is about 74193.5846283221. The cubic root of 5504688000 is about 1765.6755486611.

The spelling of 5504688000 in words is "five billion, five hundred four million, six hundred eighty-eight thousand".