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5580090000 = 243454832
BaseRepresentation
bin1010011001001100…
…10110101010010000
3112101212220221110000
411030212112222100
542412000340000
62321412410000
7255164660652
oct51446265220
915355827400
105580090000
1124038a7231
1210b8916900
136ac0a6004
143ad1446d2
15229d40000
hex14c996a90

5580090000 has 375 divisors, whose sum is σ = 20427619663. Its totient is φ = 1470096000.

The previous prime is 5580089989. The next prime is 5580090011. The reversal of 5580090000 is 900855.

The square root of 5580090000 is 74700.

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

It is an interprime number because it is at equal distance from previous prime (5580089989) and next prime (5580090011).

It can be written as a sum of positive squares in 2 ways, for example, as 437479056 + 5142610944 = 20916^2 + 71712^2 .

It is a tau number, because it is divible by the number of its divisors (375).

It is a super-2 number, since 2×55800900002 = 62274808816200000000, which contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 67229959 + ... + 67230041.

Almost surely, 25580090000 is an apocalyptic number.

5580090000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5580090000 is the 74700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5580090000

5580090000 is an abundant number, since it is smaller than the sum of its proper divisors (14847529663).

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

5580090000 is an frugal number, since it uses more digits than its factorization.

5580090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The cubic root of 5580090000 is about 1773.7009605222.

Adding to 5580090000 its reverse (900855), we get a palindrome (5580990855).

The spelling of 5580090000 in words is "five billion, five hundred eighty million, ninety thousand".