Search a number
-
+
54632633623645 = 57211199229444841
BaseRepresentation
bin11000110110000001001101…
…01110000110010001011101
321011102211101011121212101211
430123000212232012101131
524130100113201424040
6312105515125304421
714336035406462200
oct1433004656062135
9234384334555354
1054632633623645
111645362a457750
126164206565111
132463ab205738c
14d6c33ad0b937
1564b1c08d48ea
hex31b026b8645d

54632633623645 has 96 divisors (see below), whose sum is σ = 83979052128000. Its totient is φ = 33737519692800.

The previous prime is 54632633623591. The next prime is 54632633623649.

54632633623645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54632633623645 - 219 = 54632633099357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54632633623645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54632633623649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122591425 + ... + 123036265.

It is an arithmetic number, because the mean of its divisors is an integer number (874781793000).

Almost surely, 254632633623645 is an apocalyptic number.

54632633623645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54632633623645 is a deficient number, since it is larger than the sum of its proper divisors (29346418504355).

54632633623645 is a wasteful number, since it uses less digits than its factorization.

54632633623645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445299 (or 445292 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 58.

The spelling of 54632633623645 in words is "fifty-four trillion, six hundred thirty-two billion, six hundred thirty-three million, six hundred twenty-three thousand, six hundred forty-five".

Divisors: 1 5 7 11 35 49 55 77 199 229 245 385 539 995 1145 1393 1603 2189 2519 2695 6965 8015 9751 10945 11221 12595 15323 17633 45571 48755 56105 76615 88165 107261 123431 227855 318997 444841 501281 536305 617155 1594985 2224205 2232979 2506405 3113887 3508967 4893251 11164895 15569435 17544835 21797209 24466255 24562769 34252757 88523359 101868589 108986045 122813845 171263785 239769299 442616795 509342945 619663513 713080123 973756949 1120554479 1198846495 3098317565 3565400615 4337644591 4868784745 4991560861 5602772395 6816298643 7843881353 20271849211 21688222955 24957804305 34081493215 39219406765 47714090501 54907169471 101359246055 141902944477 222990341321 238570452505 274535847355 709514722385 993320611339 1114951706605 1560932389247 4966603056695 7804661946235 10926526724729 54632633623645