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2820348816 = 243117150177
BaseRepresentation
bin1010100000011011…
…0001101110010000
321021112222120020120
42220012301232100
521234002130231
61143505510240
7126614366205
oct25006615620
97245876216
102820348816
11121801689a
12668642380
1335c40336c
141ca7ddcac
15117908d96
hexa81b1b90

2820348816 has 40 divisors (see below), whose sum is σ = 7292268384. Its totient is φ = 939294720.

The previous prime is 2820348779. The next prime is 2820348821. The reversal of 2820348816 is 6188430282.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31120 + ... + 81296.

Almost surely, 22820348816 is an apocalyptic number.

It is an amenable number.

2820348816 is an abundant number, since it is smaller than the sum of its proper divisors (4471919568).

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

2820348816 is a wasteful number, since it uses less digits than its factorization.

2820348816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51359 (or 51353 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 2820348816 is about 53106.9563804969. The cubic root of 2820348816 is about 1412.8658937351.

The spelling of 2820348816 in words is "two billion, eight hundred twenty million, three hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 1171 2342 3513 4684 7026 9368 14052 18736 28104 50177 56208 100354 150531 200708 301062 401416 602124 802832 1204248 2408496 58757267 117514534 176271801 235029068 352543602 470058136 705087204 940116272 1410174408 2820348816