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13643200364145 = 3511747191106627
BaseRepresentation
bin1100011010001000111000…
…0111000111111001110001
31210022021111002110110112120
43012202032013013321301
53242012233243123040
645003333312344453
72605455136445052
oct306421607077161
953267432413476
1013643200364145
114390059a23280
121644188245129
1377c718733671
14352497918729
15189d56e5c7d0
hexc688e1c7e71

13643200364145 has 32 divisors (see below), whose sum is σ = 23813926318080. Its totient is φ = 6614790517440.

The previous prime is 13643200364141. The next prime is 13643200364177. The reversal of 13643200364145 is 54146300234631.

13643200364145 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 13643200364145 - 22 = 13643200364141 is a prime.

It is a super-2 number, since 2×136432003641452 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13643200364097 and 13643200364106.

It is not an unprimeable number, because it can be changed into a prime (13643200364141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11775322 + ... + 12881948.

It is an arithmetic number, because the mean of its divisors is an integer number (744185197440).

Almost surely, 213643200364145 is an apocalyptic number.

13643200364145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13643200364145 is a deficient number, since it is larger than the sum of its proper divisors (10170725953935).

13643200364145 is a wasteful number, since it uses less digits than its factorization.

13643200364145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181365.

The product of its (nonzero) digits is 622080, while the sum is 42.

Adding to 13643200364145 its reverse (54146300234631), we get a palindrome (67789500598776).

The spelling of 13643200364145 in words is "thirteen trillion, six hundred forty-three billion, two hundred million, three hundred sixty-four thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 74719 224157 373595 821909 1106627 1120785 2465727 3319881 4109545 5533135 12172897 12328635 16599405 36518691 60864485 182593455 82686062813 248058188439 413430314065 909546690943 1240290942195 2728640072829 4547733454715 13643200364145