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13205304625 = 531737167953
BaseRepresentation
bin11000100110001100…
…01111010100110001
31021002022002222110111
430103012033110301
5204021024222000
610022203301321
7645145144252
oct142306172461
937068088414
1013205304625
1156670608a7
12268651a841
131325a95626
148d3b2cb29
155244a7cba
hex31318f531

13205304625 has 32 divisors (see below), whose sum is σ = 17921363616. Its totient is φ = 9674035200.

The previous prime is 13205304611. The next prime is 13205304643. The reversal of 13205304625 is 52640350231.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1532879104 + 11672425521 = 39152^2 + 108039^2 .

It is not a de Polignac number, because 13205304625 - 211 = 13205302577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5352 + ... + 162601.

It is an arithmetic number, because the mean of its divisors is an integer number (560042613).

Almost surely, 213205304625 is an apocalyptic number.

It is an amenable number.

13205304625 is a deficient number, since it is larger than the sum of its proper divisors (4716058991).

13205304625 is a wasteful number, since it uses less digits than its factorization.

13205304625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168022 (or 168012 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 13205304625 its reverse (52640350231), we get a palindrome (65845654856).

The spelling of 13205304625 in words is "thirteen billion, two hundred five million, three hundred four thousand, six hundred twenty-five".

Divisors: 1 5 17 25 37 85 125 185 425 629 925 2125 3145 4625 15725 78625 167953 839765 2855201 4198825 6214261 14276005 20994125 31071305 71380025 105642437 155356525 356900125 528212185 776782625 2641060925 13205304625