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8485771392 = 273272150329
BaseRepresentation
bin1111110011100101…
…01001100010000000
3210220101110211222100
413321302221202000
5114334324141032
63522011310400
7420166603200
oct77162514200
923811424870
108485771392
113664aa670a
121789a4b400
13a53085a07
145a6dd8400
15349ea297c
hex1f9ca9880

8485771392 has 144 divisors (see below), whose sum is σ = 28405605150. Its totient is φ = 2424489984.

The previous prime is 8485771387. The next prime is 8485771421. The reversal of 8485771392 is 2931775848.

It is a happy number.

8485771392 is a `hidden beast` number, since 8 + 485 + 7 + 71 + 3 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5894554176 + 2591217216 = 76776^2 + 50904^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×84857713922 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18717 + ... + 131612.

Almost surely, 28485771392 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 8485771392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14202802575).

8485771392 is an abundant number, since it is smaller than the sum of its proper divisors (19919833758).

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

8485771392 is a wasteful number, since it uses less digits than its factorization.

8485771392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150363 (or 150341 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 8485771392 is about 92118.2467918273. The cubic root of 8485771392 is about 2039.6881645612.

The spelling of 8485771392 in words is "eight billion, four hundred eighty-five million, seven hundred seventy-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 18816 28224 56448 150329 300658 450987 601316 901974 1052303 1202632 1352961 1803948 2104606 2405264 2705922 3156909 3607896 4209212 4810528 5411844 6313818 7215792 7366121 8418424 9470727 9621056 10823688 12627636 14431584 14732242 16836848 18941454 19242112 21647376 22098363 25255272 28863168 29464484 33673696 37882908 43294752 44196726 50510544 57726336 58928968 66295089 67347392 75765816 86589504 88393452 101021088 117857936 132590178 134694784 151531632 173179008 176786904 202042176 235715872 265180356 303063264 353573808 404084352 471431744 530360712 606126528 707147616 942863488 1060721424 1212253056 1414295232 2121442848 2828590464 4242885696 8485771392