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319149366048 = 2532332892
BaseRepresentation
bin1001010010011101100…
…10001101101100100000
31010111210001211121120200
410221032302031230200
520212104214203143
6402340514305200
732025550565022
oct4511662155440
91114701747520
10319149366048
11113394551457
1251a2a588200
1324132205836
141163847c012
15847d9001d3
hex4a4ec8db20

319149366048 has 54 divisors (see below), whose sum is σ = 907608274209. Its totient is φ = 106379926272.

The previous prime is 319149366001. The next prime is 319149366059. The reversal of 319149366048 is 840663941913.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

319149366048 is a `hidden beast` number, since 3 + 1 + 91 + 493 + 6 + 60 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 215344258704 + 103805107344 = 464052^2 + 322188^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=399468.

It is a junction number, because it is equal to n+sod(n) for n = 319149365985 and 319149366003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9570588 + ... + 9603876.

Almost surely, 2319149366048 is an apocalyptic number.

It is an amenable number.

319149366048 is an abundant number, since it is smaller than the sum of its proper divisors (588458908161).

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

319149366048 is an frugal number, since it uses more digits than its factorization.

319149366048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66594 (or 33294 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 319149366048 in words is "three hundred nineteen billion, one hundred forty-nine million, three hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 33289 66578 99867 133156 199734 266312 299601 399468 532624 599202 798936 1065248 1198404 1597872 2396808 3195744 4793616 9587232 1108157521 2216315042 3324472563 4432630084 6648945126 8865260168 9973417689 13297890252 17730520336 19946835378 26595780504 35461040672 39893670756 53191561008 79787341512 106383122016 159574683024 319149366048