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20305613130625 = 541802472
BaseRepresentation
bin1001001110111110001001…
…10110111000101110000001
32122220012100002111010001201
410213133010312320232001
510130141343430140000
6111104134144101201
74164014010536464
oct447370466705601
978805302433051
1020305613130625
116519620278469
12233b444904801
13b43a70cb65c4
14502b22a652db
152532e020e96a
hex1277c4db8b81

20305613130625 has 15 divisors (see below), whose sum is σ = 25374034941717. Its totient is φ = 16244400381000.

The previous prime is 20305613130619. The next prime is 20305613130683. The reversal of 20305613130625 is 52603131650302.

The square root of 20305613130625 is 4506175.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1591960069441 + 18713653061184 = 1261729^2 + 4325928^2 .

It is not a de Polignac number, because 20305613130625 - 221 = 20305611033473 is a prime.

It is a super-2 number, since 2×203056131306252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 112564252 + ... + 112744498.

Almost surely, 220305613130625 is an apocalyptic number.

20305613130625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20305613130625 is the 4506175-th square number.

20305613130625 is the 2253088-th centered octagonal number.

It is an amenable number.

20305613130625 is a deficient number, since it is larger than the sum of its proper divisors (5068421811092).

20305613130625 is an frugal number, since it uses more digits than its factorization.

20305613130625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360514 (or 180252 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

Adding to 20305613130625 its reverse (52603131650302), we get a palindrome (72908744780927).

The spelling of 20305613130625 in words is "twenty trillion, three hundred five billion, six hundred thirteen million, one hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 180247 901235 4506175 22530875 112654375 32488981009 162444905045 812224525225 4061122626125 20305613130625