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5580535680 = 273253131253
BaseRepresentation
bin1010011001010000…
…00011011110000000
3112101220202120210200
411030220003132000
542412104120210
62321430125200
7255201525216
oct51450033600
915356676720
105580535680
112404081065
1210b8ab0800
136ac200b25
143ad21ccb6
15229dcc0c0
hex14ca03780

5580535680 has 192 divisors, whose sum is σ = 19892545920. Its totient is φ = 1440092160.

The previous prime is 5580535637. The next prime is 5580535739. The reversal of 5580535680 is 865350855.

5580535680 is a `hidden beast` number, since 5 + 5 + 80 + 5 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×55805356802 = 62284756951506124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162934 + ... + 194186.

It is an arithmetic number, because the mean of its divisors is an integer number (103607010).

Almost surely, 25580535680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5580535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9946272960).

5580535680 is an abundant number, since it is smaller than the sum of its proper divisors (14312010240).

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

5580535680 is a wasteful number, since it uses less digits than its factorization.

5580535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31309 (or 31294 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 5580535680 is about 74702.9830729670. The cubic root of 5580535680 is about 1773.7481809075.

The spelling of 5580535680 in words is "five billion, five hundred eighty million, five hundred thirty-five thousand, six hundred eighty".