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5505640000 = 265472532
BaseRepresentation
bin1010010000010100…
…10110011001000000
3112012200211111020121
411020022112121000
542233420440000
62310152550024
7253302111400
oct51012263100
915180744217
105505640000
112375876903
1210979b2314
13699839b63
143a32c4800
15223535b1a
hex148296640

5505640000 has 315 divisors, whose sum is σ = 16186425717. Its totient is φ = 1852032000.

The previous prime is 5505639983. The next prime is 5505640003. The reversal of 5505640000 is 465055.

The square root of 5505640000 is 74200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3054993984 + 2450646016 = 55272^2 + 49504^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5505640003) 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 44 ways as a sum of consecutive naturals, for example, 103879974 + ... + 103880026.

Almost surely, 25505640000 is an apocalyptic number.

5505640000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5505640000 is the 74200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505640000

5505640000 is an abundant number, since it is smaller than the sum of its proper divisors (10680785717).

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

5505640000 is an frugal number, since it uses more digits than its factorization.

5505640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The cubic root of 5505640000 is about 1765.7773301627. Note that the first 3 decimals are identical.

Multiplying 5505640000 by its sum of digits (25), we get a square (137641000000 = 3710002).

5505640000 divided by its sum of digits (25) gives a square (220225600 = 148402).

The spelling of 5505640000 in words is "five billion, five hundred five million, six hundred forty thousand".