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11689327305 = 3253711536089
BaseRepresentation
bin10101110001011110…
…01111101011001001
31010011122112100112100
422320233033223021
5142414431433210
65211530504013
7562446433305
oct127057175311
933148470470
1011689327305
114a59358687
122322895009
13114399ac26
147cc66ad05
154863545c0
hex2b8bcfac9

11689327305 has 48 divisors (see below), whose sum is σ = 20830577040. Its totient is φ = 6059556864.

The previous prime is 11689327291. The next prime is 11689327319. The reversal of 11689327305 is 50372398611.

11689327305 is a `hidden beast` number, since 1 + 16 + 8 + 9 + 327 + 305 = 666.

It is an interprime number because it is at equal distance from previous prime (11689327291) and next prime (11689327319).

It can be written as a sum of positive squares in 8 ways, for example, as 318943881 + 11370383424 = 17859^2 + 106632^2 .

It is not a de Polignac number, because 11689327305 - 29 = 11689326793 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1916701 + ... + 1922789.

It is an arithmetic number, because the mean of its divisors is an integer number (433970355).

Almost surely, 211689327305 is an apocalyptic number.

11689327305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11689327305 is a deficient number, since it is larger than the sum of its proper divisors (9141249735).

11689327305 is a wasteful number, since it uses less digits than its factorization.

11689327305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290 (or 7287 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11689327305 in words is "eleven billion, six hundred eighty-nine million, three hundred twenty-seven thousand, three hundred five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1153 1665 3459 5765 6089 10377 17295 18267 30445 42661 51885 54801 91335 127983 213305 225293 274005 383949 639915 675879 1126465 1919745 2027637 3379395 7020617 10138185 21061851 35103085 63185553 105309255 259762829 315927765 779288487 1298814145 2337865461 3896442435 11689327305