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1980566352 = 243275718169
BaseRepresentation
bin111011000001101…
…0000101101010000
312010000210012021100
41312003100231100
513024011110402
6524310224400
7100036351632
oct16603205520
95100705240
101980566352
11926a838a6
12473355100
1325743196b
1414b07aa52
15b8d2471c
hex760d0b50

1980566352 has 60 divisors (see below), whose sum is σ = 5550462580. Its totient is φ = 659280384.

The previous prime is 1980566333. The next prime is 1980566353. The reversal of 1980566352 is 2536650891.

1980566352 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 5 + 6 + 635 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 720600336 + 1259966016 = 26844^2 + 35496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1980566298 and 1980566307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980566353) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 99924 + ... + 118092.

Almost surely, 21980566352 is an apocalyptic number.

1980566352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1980566352 is an abundant number, since it is smaller than the sum of its proper divisors (3569896228).

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

1980566352 is a wasteful number, since it uses less digits than its factorization.

1980566352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18940 (or 18931 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1980566352 is about 44503.5543749036. The cubic root of 1980566352 is about 1255.8269502075.

The spelling of 1980566352 in words is "one billion, nine hundred eighty million, five hundred sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 757 1514 2271 3028 4542 6056 6813 9084 12112 13626 18168 18169 27252 36336 36338 54504 54507 72676 109008 109014 145352 163521 218028 290704 327042 436056 654084 872112 1308168 2616336 13753933 27507866 41261799 55015732 82523598 110031464 123785397 165047196 220062928 247570794 330094392 495141588 660188784 990283176 1980566352