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13682255265 = 3357171137537
BaseRepresentation
bin11001011111000011…
…01010010110100001
31022022112120120202000
430233201222112201
5211010124132030
610141402114213
7663026152020
oct145741522641
938275516660
1013682255265
115891304988
12279a1ab969
1313a083a343
1493b2048b7
155512bb860
hex32f86a5a1

13682255265 has 128 divisors (see below), whose sum is σ = 29698513920. Its totient is φ = 5833949184.

The previous prime is 13682255261. The next prime is 13682255297. The reversal of 13682255265 is 56255228631.

13682255265 is a `hidden beast` number, since 1 + 36 + 8 + 2 + 2 + 552 + 65 = 666.

13682255265 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 13682255265 - 22 = 13682255261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13682255265.

It is not an unprimeable number, because it can be changed into a prime (13682255261) 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 127 ways as a sum of consecutive naturals, for example, 1811577 + ... + 1819113.

It is an arithmetic number, because the mean of its divisors is an integer number (232019640).

Almost surely, 213682255265 is an apocalyptic number.

13682255265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13682255265 is an abundant number, since it is smaller than the sum of its proper divisors (16016258655).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13682255265 is a wasteful number, since it uses less digits than its factorization.

13682255265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7688 (or 7682 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 13682255265 in words is "thirteen billion, six hundred eighty-two million, two hundred fifty-five thousand, two hundred sixty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 85 105 113 119 135 153 189 255 315 339 357 459 565 595 765 791 945 1017 1071 1695 1785 1921 2295 2373 3051 3213 3955 5085 5355 5763 7119 7537 9605 11865 13447 15255 16065 17289 21357 22611 28815 35595 37685 40341 51867 52759 67235 67833 86445 106785 113055 121023 128129 158277 201705 203499 259335 263795 339165 363069 384387 474831 605115 640645 791385 851681 896903 1017495 1153161 1424493 1815345 1921935 2374155 2555043 2690709 3459483 4258405 4484515 5765805 5961767 7122465 7665129 8072127 12775215 13453545 14478577 17297415 17885301 22995387 24216381 29808835 38325645 40360635 43435731 53655903 72392885 89426505 101350039 114976935 121081905 130307193 160967709 217178655 268279515 304050117 390921579 506750195 651535965 804838545 912150351 1520250585 1954607895 2736451053 4560751755 13682255265