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13265213625 = 325314278263
BaseRepresentation
bin11000101101010101…
…10001100010111001
31021020110211200011100
430112222301202321
5204131343314000
610032143322013
7646503312126
oct142652614271
937213750140
1013265213625
11569795a374
1226a25b0309
131335310041
148dba8574d
1552988da00
hex316ab18b9

13265213625 has 48 divisors (see below), whose sum is σ = 23932411776. Its totient is φ = 7068967200.

The previous prime is 13265213587. The next prime is 13265213653. The reversal of 13265213625 is 52631256231.

13265213625 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 5 + 21 + 3 + 625 = 666.

13265213625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13265213625 - 29 = 13265213113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13265213625.

It is an unprimeable number.

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, 1601244 + ... + 1609506.

It is an arithmetic number, because the mean of its divisors is an integer number (498591912).

Almost surely, 213265213625 is an apocalyptic number.

13265213625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13265213625 is a deficient number, since it is larger than the sum of its proper divisors (10667198151).

13265213625 is a wasteful number, since it uses less digits than its factorization.

13265213625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9711 (or 9698 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

Adding to 13265213625 its reverse (52631256231), we get a palindrome (65896469856).

The spelling of 13265213625 in words is "thirteen billion, two hundred sixty-five million, two hundred thirteen thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 1427 4281 7135 8263 12843 21405 24789 35675 41315 64215 74367 107025 123945 178375 206575 321075 371835 535125 619725 1032875 1605375 1859175 3098625 9295875 11791301 35373903 58956505 106121709 176869515 294782525 530608545 884347575 1473912625 2653042725 4421737875 13265213625