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690224804577765 = 325411877199310381
BaseRepresentation
bin1001110011110000010111110…
…0010010101100000111100101
310100111212211212101110020120100
42130330011330102230013211
51210432120344432442030
610443552521532254313
7265246045046323302
oct23474057422540745
93314784771406510
10690224804577765
1118aa21772073746
12654b6236611399
1323819bc5a09272
14c2630b746a0a9
1554be4e793d360
hex273c17c4ac1e5

690224804577765 has 48 divisors (see below), whose sum is σ = 1226222843869296. Its totient is φ = 358950021964800.

The previous prime is 690224804577733. The next prime is 690224804577853. The reversal of 690224804577765 is 567775408422096.

690224804577765 is a `hidden beast` number, since 6 + 9 + 0 + 2 + 2 + 48 + 0 + 4 + 577 + 7 + 6 + 5 = 666.

690224804577765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 257154803386209 + 433070001191556 = 16036047^2 + 20810334^2 .

It is not a de Polignac number, because 690224804577765 - 25 = 690224804577733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 690224804577693 and 690224804577702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96192126 + ... + 103118255.

It is an arithmetic number, because the mean of its divisors is an integer number (25546309247277).

Almost surely, 2690224804577765 is an apocalyptic number.

It is an amenable number.

690224804577765 is a deficient number, since it is larger than the sum of its proper divisors (535998039291531).

690224804577765 is a wasteful number, since it uses less digits than its factorization.

690224804577765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199312310 (or 199312307 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 690224804577765 in words is "six hundred ninety trillion, two hundred twenty-four billion, eight hundred four million, five hundred seventy-seven thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 1877 5631 9385 16893 28155 76957 84465 230871 384785 692613 1154355 3463065 199310381 597931143 996551905 1793793429 2989655715 8171725621 8968967145 24515176863 40858628105 73545530589 122575884315 367727652945 374105585137 1122316755411 1870527925685 3366950266233 5611583777055 15338328990617 16834751331165 46014986971851 76691644953085 138044960915553 230074934859255 690224804577765