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11265013375 = 537111378543
BaseRepresentation
bin10100111110111001…
…00111011001111111
31002002002002222020121
422133130213121333
5141032320412000
65101452155411
7546105014410
oct123734473177
932062088217
1011265013375
114860896310
122224768b67
1310a6ac57b5
1478c177807
1545de8bb1a
hex29f72767f

11265013375 has 64 divisors (see below), whose sum is σ = 17657782272. Its totient is φ = 6970272000.

The previous prime is 11265013367. The next prime is 11265013387. The reversal of 11265013375 is 57331056211.

It is not a de Polignac number, because 11265013375 - 23 = 11265013367 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11265013375.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 1314354 + ... + 1322896.

It is an arithmetic number, because the mean of its divisors is an integer number (275902848).

Almost surely, 211265013375 is an apocalyptic number.

11265013375 is a deficient number, since it is larger than the sum of its proper divisors (6392768897).

11265013375 is a wasteful number, since it uses less digits than its factorization.

11265013375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8713 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

Adding to 11265013375 its reverse (57331056211), we get a palindrome (68596069586).

It can be divided in two parts, 112650 and 13375, that added together give a square (126025 = 3552).

The spelling of 11265013375 in words is "eleven billion, two hundred sixty-five million, thirteen thousand, three hundred seventy-five".

Divisors: 1 5 7 11 25 35 55 77 125 137 175 275 385 685 875 959 1375 1507 1925 3425 4795 7535 8543 9625 10549 17125 23975 37675 42715 52745 59801 93973 119875 188375 213575 263725 299005 469865 657811 1067875 1170391 1318625 1495025 2349325 3289055 5851955 7475125 8192737 11746625 12874301 16445275 29259775 40963685 64371505 82226375 90120107 146298875 204818425 321857525 450600535 1024092125 1609287625 2253002675 11265013375