Search a number
-
+
13244245500065 = 5192711014572239
BaseRepresentation
bin1100000010111010101010…
…0011000110000010100001
31201220010201020111111111112
43000232222203012002201
53213443203322000230
644100153345153105
72534602515163406
oct300565243060241
951803636444445
1013244245500065
114246942342a78
12159a9a702b795
13750c087a6958
1433b04c4922ad
1517e7a71add95
hexc0baa8c60a1

13244245500065 has 96 divisors (see below), whose sum is σ = 17223538913280. Its totient is φ = 9772576128000.

The previous prime is 13244245500061. The next prime is 13244245500113. The reversal of 13244245500065 is 56000554244231.

It is not a de Polignac number, because 13244245500065 - 22 = 13244245500061 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13244245499995 and 13244245500031.

It is not an unprimeable number, because it can be changed into a prime (13244245500061) 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 95 ways as a sum of consecutive naturals, for example, 5915249216 + ... + 5915251454.

It is an arithmetic number, because the mean of its divisors is an integer number (179411863680).

Almost surely, 213244245500065 is an apocalyptic number.

It is an amenable number.

13244245500065 is a deficient number, since it is larger than the sum of its proper divisors (3979293413215).

13244245500065 is a wasteful number, since it uses less digits than its factorization.

13244245500065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

Adding to 13244245500065 its reverse (56000554244231), we get a palindrome (69244799744296).

The spelling of 13244245500065 in words is "thirteen trillion, two hundred forty-four billion, two hundred forty-five million, five hundred thousand, sixty-five".

Divisors: 1 5 19 71 95 101 355 361 457 505 1349 1805 1919 2239 2285 6745 7171 8683 9595 11195 25631 32447 35855 36461 42541 43415 46157 128155 136249 158969 162235 164977 182305 212705 226139 230785 616493 681245 794845 808279 824885 876983 1023223 1130695 2588731 3020411 3082465 3277147 4041395 4296641 4384915 5116115 11713367 12943655 15102055 16055869 16385735 16662677 19441237 21483205 57387809 58566835 62265793 72648833 80279345 81636179 83313385 97206185 103345523 286939045 305061511 311328965 363244165 369383503 408180895 516727615 1183050067 1380327827 1525307555 1846917515 1963564937 5796168709 5915250335 6901639135 7337532133 9817824685 26226228713 28980843545 36687660665 37307733803 131131143565 139413110527 186538669015 697065552635 2648849100013 13244245500065