Search a number
-
+
5034631431687 = 31113232964127449
BaseRepresentation
bin100100101000011011101…
…1010110000011000000111
3122211022021010021010200020
41021100313122300120013
51124441411121303222
614412513332150223
71026511601034234
oct111206732603007
918738233233606
105034631431687
1116711a2210790
126938b3a68373
132a69c0b30190
1413596ad5078b
158ae67c4b65c
hex494376b0607

5034631431687 has 128 divisors (see below), whose sum is σ = 8526663936000. Its totient is φ = 2597063884800.

The previous prime is 5034631431671. The next prime is 5034631431703. The reversal of 5034631431687 is 7861341364305.

It is an interprime number because it is at equal distance from previous prime (5034631431671) and next prime (5034631431703).

It is not a de Polignac number, because 5034631431687 - 24 = 5034631431671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5034631431187) 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, 183403939 + ... + 183431387.

It is an arithmetic number, because the mean of its divisors is an integer number (66614562000).

Almost surely, 25034631431687 is an apocalyptic number.

5034631431687 is a deficient number, since it is larger than the sum of its proper divisors (3492032504313).

5034631431687 is a wasteful number, since it uses less digits than its factorization.

5034631431687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28169.

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 5034631431687 in words is "five trillion, thirty-four billion, six hundred thirty-one million, four hundred thirty-one thousand, six hundred eighty-seven".

Divisors: 1 3 11 13 23 29 33 39 69 87 143 253 299 319 377 429 641 667 759 897 957 1131 1923 2001 3289 4147 7051 7337 8333 8671 9867 12441 14743 18589 21153 22011 24999 26013 27449 44229 55767 82347 91663 95381 162173 191659 204479 241657 274989 286143 301939 356837 427547 486519 574977 613437 631327 724971 796021 905817 1070511 1282641 1893981 2108249 2388063 2658227 3925207 4703017 5558111 6324747 6944597 7974681 8207251 8756231 10348273 11775621 14109051 16674333 17594809 18308483 20833791 24621753 26268693 31044819 52784427 54925449 61139221 90279761 113831003 183417663 193542899 201393313 228732517 238010279 270839283 341493009 404680607 510249461 580628697 604179939 686197551 714030837 1214041821 1530748383 2516057687 2618113069 4451486677 5260847891 5612744071 6633242993 7548173061 7854339207 11735737603 13354460031 15782543673 16838232213 19899728979 35207212809 57869326801 72965672923 129093113633 152564588839 173607980403 218897018769 387279340899 457693766517 1678210477229 5034631431687