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535442553540 = 223252974680853
BaseRepresentation
bin1111100101010101101…
…11001111101011000100
31220012001220121222111200
413302222313033223010
532233041243203130
61045551240102500
753453523416256
oct7625267175304
91805056558450
10535442553540
111970973a9564
1287932764a30
133b651c61c4b
141bcb640dcd6
15dddc480760
hex7caadcfac4

535442553540 has 36 divisors (see below), whose sum is σ = 1624175746284. Its totient is φ = 142784680896.

The previous prime is 535442553523. The next prime is 535442553553. The reversal of 535442553540 is 45355244535.

535442553540 is a `hidden beast` number, since 5 + 3 + 5 + 4 + 42 + 553 + 54 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 261503367876 + 273939185664 = 511374^2 + 523392^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1487340247 + ... + 1487340606.

Almost surely, 2535442553540 is an apocalyptic number.

It is an amenable number.

535442553540 is an abundant number, since it is smaller than the sum of its proper divisors (1088733192744).

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

535442553540 is a wasteful number, since it uses less digits than its factorization.

535442553540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974680868 (or 2974680863 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 45.

The spelling of 535442553540 in words is "five hundred thirty-five billion, four hundred forty-two million, five hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2974680853 5949361706 8924042559 11898723412 14873404265 17848085118 26772127677 29746808530 35696170236 44620212795 53544255354 59493617060 89240425590 107088510708 133860638385 178480851180 267721276770 535442553540