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20058721763085 = 36519331391097
BaseRepresentation
bin1001000111110010010001…
…11111000011111100001101
32122000121001210211011000000
410203321020333003330031
510112120230232404320
6110354503301154513
74140123552540225
oct443711077037415
978017053734000
1020058721763085
116433946561855
1222bb6213bba39
13b266b5c85a05
144d4bc1057085
1524bb90296c90
hex123e48fc3f0d

20058721763085 has 112 divisors (see below), whose sum is σ = 36392478386544. Its totient is φ = 10608436740096.

The previous prime is 20058721763021. The next prime is 20058721763117. The reversal of 20058721763085 is 58036712785002.

20058721763085 is a `hidden beast` number, since 2 + 0 + 0 + 587 + 21 + 7 + 6 + 30 + 8 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2530256499684 + 17528465263401 = 1590678^2 + 4186701^2 .

It is not a de Polignac number, because 20058721763085 - 26 = 20058721763021 is a prime.

It is a super-5 number, since 5×200587217630855 (a number of 68 digits) contains 55555 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 220145257 + ... + 220236353.

It is an arithmetic number, because the mean of its divisors is an integer number (324932842737).

Almost surely, 220058721763085 is an apocalyptic number.

It is an amenable number.

20058721763085 is a deficient number, since it is larger than the sum of its proper divisors (16333756623459).

20058721763085 is an equidigital number, since it uses as much as digits as its factorization.

20058721763085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91626 (or 91611 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 20058721763085 in words is "twenty trillion, fifty-eight billion, seven hundred twenty-one million, seven hundred sixty-three thousand, eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 193 243 313 405 579 729 939 965 1215 1565 1737 2817 2895 3645 4695 5211 8451 8685 14085 15633 25353 26055 42255 46899 60409 76059 78165 91097 126765 140697 181227 228177 234495 273291 302045 380295 455485 543681 703485 819873 906135 1140885 1366455 1631043 2459619 2718405 4099365 4893129 7378857 8155215 12298095 14679387 17581721 22136571 24465645 28513361 36894285 44038161 52745163 66409713 73396935 85540083 87908605 110682855 142566805 158235489 220190805 256620249 263725815 332048565 427700415 474706467 769860747 791177445 1283101245 1424119401 2309582241 2373532335 3849303735 4272358203 5503078673 6928746723 7120597005 11547911205 12817074609 16509236019 20786240169 21361791015 27515393365 34643733615 49527708057 64085373045 82546180095 103931200845 148583124171 247638540285 445749372513 742915620855 1337248117539 2228746862565 4011744352617 6686240587695 20058721763085