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5506841088 = 293272293
BaseRepresentation
bin1010010000011101…
…11011101000000000
3112012210002111211100
411020032323220000
542234222403323
62310234414400
7253315243200
oct51016735000
915183074740
105506841088
112376517241
121098291400
13699b6a768
143a3518400
152236c1943
hex1483bba00

5506841088 has 360 divisors, whose sum is σ = 19148166180. Its totient is φ = 1519128576.

The previous prime is 5506841009. The next prime is 5506841099. The reversal of 5506841088 is 8801486055.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5506841088 is a `hidden beast` number, since 550 + 6 + 8 + 4 + 10 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4837480704 + 669360384 = 69552^2 + 25872^2 .

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 35 ways as a sum of consecutive naturals, for example, 189891058 + ... + 189891086.

Almost surely, 25506841088 is an apocalyptic number.

5506841088 is a gapful number since it is divisible by the number (58) 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 5506841088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9574083090).

5506841088 is an abundant number, since it is smaller than the sum of its proper divisors (13641325092).

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

5506841088 is an frugal number, since it uses more digits than its factorization.

5506841088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 5506841088 is about 74208.0931435379. The cubic root of 5506841088 is about 1765.9057257567.

The spelling of 5506841088 in words is "five billion, five hundred six million, eight hundred forty-one thousand, eighty-eight".