Search a number
-
+
5004063532545 = 3571117412961723
BaseRepresentation
bin100100011010001100101…
…1011011110011000000001
3122201101100210100222010120
41020310121123132120001
51123441310231020140
614350500212050453
71024350234134610
oct110643133363001
918641323328116
105004063532545
11165a236454720
126899a2903a29
132a3b5bbcb7ac
141342ab317877
158a2793461d0
hex48d196de601

5004063532545 has 128 divisors (see below), whose sum is σ = 10572047216640. Its totient is φ = 1956775034880.

The previous prime is 5004063532541. The next prime is 5004063532607. The reversal of 5004063532545 is 5452353604005.

It is a happy number.

It is not a de Polignac number, because 5004063532545 - 22 = 5004063532541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5004063532497 and 5004063532506.

It is not an unprimeable number, because it can be changed into a prime (5004063532541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81042054 + ... + 81103776.

It is an arithmetic number, because the mean of its divisors is an integer number (82594118880).

Almost surely, 25004063532545 is an apocalyptic number.

5004063532545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5004063532545 is an abundant number, since it is smaller than the sum of its proper divisors (5567983684095).

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

5004063532545 is a wasteful number, since it uses less digits than its factorization.

5004063532545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65895.

The product of its (nonzero) digits is 1080000, while the sum is 42.

The spelling of 5004063532545 in words is "five trillion, four billion, sixty-three million, five hundred thirty-two thousand, five hundred forty-five".

Divisors: 1 3 5 7 11 15 17 21 33 35 51 55 77 85 105 119 165 187 231 255 357 385 561 595 935 1155 1309 1785 2805 3927 4129 6545 12387 19635 20645 28903 45419 61723 61935 70193 86709 136257 144515 185169 210579 227095 308615 317933 350965 432061 433545 491351 678953 681285 772123 925845 953799 1049291 1052895 1296183 1474053 1589665 2036859 2160305 2316369 2456755 3147873 3394765 3860615 4752671 4768995 5246455 5404861 6480915 7345037 7370265 10184295 11542201 11581845 14258013 15739365 16214583 22035111 23763355 27024305 34626603 36725185 57711005 71290065 80795407 81072915 110175555 173133015 242386221 254854267 403977035 764562801 1211931105 1274271335 1783979869 2803396937 3822814005 4332522539 5351939607 8410190811 8919899345 12997567617 14016984685 19623778559 21662612695 26759698035 30327657773 42050954055 47657747929 58871335677 64987838085 90982973319 98118892795 142973243787 151638288865 238288739645 294356678385 333604235503 454914866595 714866218935 1000812706509 1668021177515 5004063532545