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20305211625 = 34532005453
BaseRepresentation
bin10010111010010010…
…001111000011101001
31221102002211121220000
4102322102033003221
5313041113233000
613154511053213
71316116310466
oct227222170351
957362747800
1020305211625
11867a843036
123b28211209
131bb79ab92a
14da8a5466d
157dc959000
hex4ba48f0e9

20305211625 has 40 divisors (see below), whose sum is σ = 37854949704. Its totient is φ = 10829440800.

The previous prime is 20305211609. The next prime is 20305211627. The reversal of 20305211625 is 52611250302.

It is a happy number.

20305211625 is a `hidden beast` number, since 2 + 0 + 30 + 5 + 2 + 1 + 1 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1005333849 + 19299877776 = 31707^2 + 138924^2 .

It is not a de Polignac number, because 20305211625 - 24 = 20305211609 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20305211627) 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 39 ways as a sum of consecutive naturals, for example, 992602 + ... + 1012851.

Almost surely, 220305211625 is an apocalyptic number.

20305211625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20305211625 is a deficient number, since it is larger than the sum of its proper divisors (17549738079).

20305211625 is an equidigital number, since it uses as much as digits as its factorization.

20305211625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005480 (or 2005461 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 20305211625 its reverse (52611250302), we get a palindrome (72916461927).

The spelling of 20305211625 in words is "twenty billion, three hundred five million, two hundred eleven thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 675 1125 2025 3375 10125 2005453 6016359 10027265 18049077 30081795 50136325 54147231 90245385 150408975 162441693 250681625 270736155 451226925 752044875 812208465 1353680775 2256134625 4061042325 6768403875 20305211625