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6541620345 = 345139712809
BaseRepresentation
bin1100001011110100…
…10011010001111001
3121212220012202010000
412011322103101321
5101344123322340
63001041343213
7321051566301
oct60572232171
917786182100
106541620345
112857635207
121326937b09
13803364090
14460b1a601
15284472d30
hex185e93479

6541620345 has 80 divisors (see below), whose sum is σ = 12759682320. Its totient is φ = 3187040256.

The previous prime is 6541620343. The next prime is 6541620361. The reversal of 6541620345 is 5430261456.

It can be written as a sum of positive squares in 8 ways, for example, as 929213289 + 5612407056 = 30483^2 + 74916^2 .

It is not a de Polignac number, because 6541620345 - 21 = 6541620343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6541620343) 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 79 ways as a sum of consecutive naturals, for example, 504301 + ... + 517109.

It is an arithmetic number, because the mean of its divisors is an integer number (159496029).

Almost surely, 26541620345 is an apocalyptic number.

6541620345 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6541620345 is a deficient number, since it is larger than the sum of its proper divisors (6218061975).

6541620345 is a wasteful number, since it uses less digits than its factorization.

6541620345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12936 (or 12927 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 6541620345 is about 80880.2840314004. The cubic root of 6541620345 is about 1870.2303990380.

The spelling of 6541620345 in words is "six billion, five hundred forty-one million, six hundred twenty thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 97 117 135 195 291 351 405 485 585 873 1053 1261 1455 1755 2619 3783 4365 5265 6305 7857 11349 12809 13095 18915 34047 38427 39285 56745 64045 102141 115281 166517 170235 192135 345843 499551 510705 576405 832585 1037529 1242473 1498653 1729215 2497755 3727419 4495959 5187645 6212365 7493265 11182257 13487877 16152149 18637095 22479795 33546771 48456447 55911285 67439385 80760745 100640313 145369341 167733855 242282235 436108023 503201565 726846705 1308324069 2180540115 6541620345