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5528210688 = 2833711131747
BaseRepresentation
bin1010010011000000…
…11100110100000000
3112021021022012102000
411021200130310000
542310210220223
62312320424000
7253665005220
oct51140346400
915237265360
105528210688
112387592570
1210a3478000
136a14103b0
143a62bc080
152254e3543
hex14981cd00

5528210688 has 1152 divisors, whose sum is σ = 23735255040. Its totient is φ = 1220935680.

The previous prime is 5528210629. The next prime is 5528210693. The reversal of 5528210688 is 8860128255.

5528210688 is a `hidden beast` number, since 552 + 8 + 2 + 10 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×55282106882 = 61122226821834866688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 117621481 + ... + 117621527.

It is an arithmetic number, because the mean of its divisors is an integer number (20603520).

Almost surely, 25528210688 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 5528210688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11867627520).

5528210688 is an abundant number, since it is smaller than the sum of its proper divisors (18207044352).

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

5528210688 is a wasteful number, since it uses less digits than its factorization.

5528210688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

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

The square root of 5528210688 is about 74351.9380245061. The cubic root of 5528210688 is about 1768.1870088762.

The spelling of 5528210688 in words is "five billion, five hundred twenty-eight million, two hundred ten thousand, six hundred eighty-eight".