Search a number
-
+
5005318641687 = 3271343535126561
BaseRepresentation
bin100100011010110010000…
…1111010101100000010111
3122201111121021002010012100
41020311210033111200113
51124001343033013222
614351224525253143
71024423314320130
oct110654417254027
918644537063170
105005318641687
11165a81a980801
1268a0931041b3
132a3ccbc49a20
14134389cb0c87
158a2ee61a4ac
hex48d643d5817

5005318641687 has 96 divisors (see below), whose sum is σ = 9107326964736. Its totient is φ = 2578189824000.

The previous prime is 5005318641671. The next prime is 5005318641707. The reversal of 5005318641687 is 7861468135005.

It is a happy number.

5005318641687 is a `hidden beast` number, since 5 + 0 + 0 + 531 + 8 + 6 + 41 + 68 + 7 = 666.

It is not a de Polignac number, because 5005318641687 - 24 = 5005318641671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005318641607) 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, 188432887 + ... + 188459447.

It is an arithmetic number, because the mean of its divisors is an integer number (94867989216).

Almost surely, 25005318641687 is an apocalyptic number.

5005318641687 is a deficient number, since it is larger than the sum of its proper divisors (4102008323049).

5005318641687 is a wasteful number, since it uses less digits than its factorization.

5005318641687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31981 (or 31978 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 5005318641687 in words is "five trillion, five billion, three hundred eighteen million, six hundred forty-one thousand, six hundred eighty-seven".

Divisors: 1 3 7 9 13 21 39 43 63 91 117 129 273 301 387 559 819 903 1677 2709 3913 5031 5351 11739 16053 26561 35217 37457 48159 69563 79683 112371 185927 208689 230093 239049 337113 345293 486941 557781 626067 690279 1035879 1142123 1460823 1610651 1673343 2070837 2417051 2991209 3107637 3426369 4382469 4831953 7251153 7994861 8973627 10279107 14495859 14847599 20938463 21753459 23984583 26920881 44542797 62815389 71953749 103933193 133628391 142127911 188446167 311799579 426383733 935398737 994895377 1279151199 1847662843 2984686131 5542988529 6111500173 8954058393 12933639901 16628965587 18334500519 38800919703 42780501211 55003501557 79449502249 116402759109 128341503633 238348506747 385024510899 556146515743 715045520241 1668439547229 5005318641687