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564542283060 = 2232571925791757
BaseRepresentation
bin10000011011100010101…
…01111001110100110100
31222222011220220101221200
420031301111321310310
533222140311024220
61111202552212500
755533612141660
oct10156125716464
91888156811850
10564542283060
111a846a445aa8
12914b409a130
134130b967502
141d47706b8a0
15ea42027890
hex8371579d34

564542283060 has 288 divisors, whose sum is σ = 2068122551040. Its totient is φ = 121769754624.

The previous prime is 564542283023. The next prime is 564542283083. The reversal of 564542283060 is 60382245465.

564542283060 is a `hidden beast` number, since 56 + 4 + 542 + 28 + 30 + 6 + 0 = 666.

564542283060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 564542282997 and 564542283015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6106702 + ... + 6198458.

It is an arithmetic number, because the mean of its divisors is an integer number (7180981080).

Almost surely, 2564542283060 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 564542283060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034061275520).

564542283060 is an abundant number, since it is smaller than the sum of its proper divisors (1503580267980).

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

564542283060 is a wasteful number, since it uses less digits than its factorization.

564542283060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92055 (or 92050 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 564542283060 in words is "five hundred sixty-four billion, five hundred forty-two million, two hundred eighty-three thousand, sixty".