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575304512130 = 232517701353617
BaseRepresentation
bin10000101111100101101…
…00100011001010000010
32000222221221221021210100
420113302310203022002
533411210423342010
61120142524143230
756364403445055
oct10276264431202
92028857837710
10575304512130
11201a92442a97
12935b8397b16
13423355417aa
141dbb8526a9c
15ee71c9b2c0
hex85f2d23282

575304512130 has 96 divisors (see below), whose sum is σ = 1584034858224. Its totient is φ = 144366870528.

The previous prime is 575304512087. The next prime is 575304512137. The reversal of 575304512130 is 31215403575.

575304512130 is a `hidden beast` number, since 5 + 7 + 5 + 3 + 0 + 4 + 512 + 130 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 553308359409 + 21996152721 = 743847^2 + 148311^2 .

It is not an unprimeable number, because it can be changed into a prime (575304512137) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10703082 + ... + 10756698.

Almost surely, 2575304512130 is an apocalyptic number.

575304512130 is an abundant number, since it is smaller than the sum of its proper divisors (1008730346094).

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

575304512130 is a wasteful number, since it uses less digits than its factorization.

575304512130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60660 (or 60657 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 575304512130 in words is "five hundred seventy-five billion, three hundred four million, five hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 7013 14026 21039 35065 42078 53617 63117 70130 105195 107234 119221 126234 160851 210390 238442 268085 315585 321702 357663 482553 536170 596105 631170 715326 804255 911489 965106 1072989 1192210 1608510 1788315 1822978 2145978 2412765 2734467 3576630 4557445 4825530 5364945 5468934 8203401 9114890 10729890 13672335 16406802 27344670 41017005 82034010 376016021 752032042 1128048063 1880080105 2256096126 3384144189 3760160210 5640240315 6392272357 6768288378 11280480630 12784544714 16920720945 19176817071 31961361785 33841441890 38353634142 57530451213 63922723570 95884085355 115060902426 191768170710 287652256065 575304512130