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5528785680 = 24335111937331
BaseRepresentation
bin1010010011000101…
…01001001100010000
3112021022101102011000
411021202221030100
542310332120210
62312341022000
7254002621455
oct51142511420
915238342130
105528785680
112387945570
1210a36b4900
136a1582022
143a63cb82c
152255a8ac0
hex1498a9310

5528785680 has 640 divisors, whose sum is σ = 22527129600. Its totient is φ = 1231718400.

The previous prime is 5528785657. The next prime is 5528785681. The reversal of 5528785680 is 865878255.

It is a happy number.

5528785680 is a `hidden beast` number, since 5 + 5 + 2 + 8 + 78 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5528785681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16703115 + ... + 16703445.

It is an arithmetic number, because the mean of its divisors is an integer number (35198640).

Almost surely, 25528785680 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 5528785680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11263564800).

5528785680 is an abundant number, since it is smaller than the sum of its proper divisors (16998343920).

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

5528785680 is a wasteful number, since it uses less digits than its factorization.

5528785680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The square root of 5528785680 is about 74355.8046153762. The cubic root of 5528785680 is about 1768.2483100937.

The spelling of 5528785680 in words is "five billion, five hundred twenty-eight million, seven hundred eighty-five thousand, six hundred eighty".