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13654230345 = 34575239209
BaseRepresentation
bin11001011011101101…
…10000010101001001
31022020120211202210000
430231312300111021
5210430440332340
610134521313213
7662236020510
oct145566602511
938216752700
1013654230345
115877503398
122790935809
131397aa7352
149375cb677
1554dad2d30
hex32ddb0549

13654230345 has 80 divisors (see below), whose sum is σ = 28029640320. Its totient is φ = 6229322496.

The previous prime is 13654230269. The next prime is 13654230367. The reversal of 13654230345 is 54303245631.

13654230345 is a `hidden beast` number, since 1 + 36 + 54 + 230 + 345 = 666.

13654230345 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 13654230345 - 27 = 13654230217 is a prime.

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 79 ways as a sum of consecutive naturals, for example, 1478101 + ... + 1487309.

It is an arithmetic number, because the mean of its divisors is an integer number (350370504).

Almost surely, 213654230345 is an apocalyptic number.

13654230345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13654230345 is an abundant number, since it is smaller than the sum of its proper divisors (14375409975).

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

13654230345 is an equidigital number, since it uses as much as digits as its factorization.

13654230345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9756 (or 9747 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 13654230345 its reverse (54303245631), we get a palindrome (67957475976).

The spelling of 13654230345 in words is "thirteen billion, six hundred fifty-four million, two hundred thirty thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 523 567 945 1569 2615 2835 3661 4707 7845 9209 10983 14121 18305 23535 27627 32949 42363 46045 54915 64463 70605 82881 98847 138135 164745 193389 211815 248643 296541 322315 414405 494235 580167 745929 966945 1243215 1482705 1740501 2900835 3729645 4816307 5221503 8702505 14448921 24081535 26107515 33714149 43346763 72244605 101142447 130040289 168570745 216733815 303427341 390120867 505712235 650201445 910282023 1517136705 1950604335 2730846069 4551410115 13654230345