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5105504061 = 337137269733
BaseRepresentation
bin1001100000100111…
…11100111100111101
3111011210220110221000
410300103330330331
540424002112221
62202340400513
7240343032330
oct46023747475
914153813830
105105504061
11218aa18849
12ba59a6139
1363497b728
143660c6617
151ed346e26
hex1304fcf3d

5105504061 has 64 divisors (see below), whose sum is σ = 8751628800. Its totient is φ = 2881433088.

The previous prime is 5105504059. The next prime is 5105504081. The reversal of 5105504061 is 1604055015.

It is a happy number.

5105504061 is a `hidden beast` number, since 5 + 10 + 550 + 40 + 61 = 666.

It is not a de Polignac number, because 5105504061 - 21 = 5105504059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105504011) 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 63 ways as a sum of consecutive naturals, for example, 6964851 + ... + 6965583.

It is an arithmetic number, because the mean of its divisors is an integer number (136744200).

Almost surely, 25105504061 is an apocalyptic number.

It is an amenable number.

5105504061 is a deficient number, since it is larger than the sum of its proper divisors (3646124739).

5105504061 is a wasteful number, since it uses less digits than its factorization.

5105504061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 5105504061 is about 71452.8100287176. The cubic root of 5105504061 is about 1721.9196231711.

Adding to 5105504061 its reverse (1604055015), we get a palindrome (6709559076).

The spelling of 5105504061 in words is "five billion, one hundred five million, five hundred four thousand, sixty-one".

Divisors: 1 3 7 9 21 27 63 137 189 269 411 733 807 959 1233 1883 2199 2421 2877 3699 5131 5649 6597 7263 8631 15393 16947 19791 25893 36853 46179 50841 100421 110559 138537 197177 257971 301263 331677 591531 702947 773913 903789 995031 1380239 1774593 2108841 2321739 2711367 4140717 5323779 6326523 6965217 12422151 18979569 27013249 37266453 81039747 189092743 243119241 567278229 729357723 1701834687 5105504061