Search a number
-
+
51210071718 = 231329471313677
BaseRepresentation
bin101111101100010110…
…111010111010100110
311220011220210011221220
4233230112322322212
51314334234243333
635305305321210
73462014266431
oct575426727246
9156156704856
1051210071718
111a799828923
129b12196206
134aa167c5b0
14269b322818
1514eac1e8b3
hexbec5baea6

51210071718 has 128 divisors (see below), whose sum is σ = 117451192320. Its totient is φ = 14772226560.

The previous prime is 51210071701. The next prime is 51210071719. The reversal of 51210071718 is 81717001215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51210071719) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13925296 + ... + 13928972.

It is an arithmetic number, because the mean of its divisors is an integer number (917587440).

Almost surely, 251210071718 is an apocalyptic number.

51210071718 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51210071718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58725596160).

51210071718 is an abundant number, since it is smaller than the sum of its proper divisors (66241120602).

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

51210071718 is a wasteful number, since it uses less digits than its factorization.

51210071718 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902.

The product of its (nonzero) digits is 3920, while the sum is 33.

The spelling of 51210071718 in words is "fifty-one billion, two hundred ten million, seventy-one thousand, seven hundred eighteen".

Divisors: 1 2 3 6 13 26 29 39 47 58 78 87 94 131 141 174 262 282 377 393 611 754 786 1131 1222 1363 1703 1833 2262 2726 3406 3666 3677 3799 4089 5109 6157 7354 7598 8178 10218 11031 11397 12314 17719 18471 22062 22794 35438 36942 47801 49387 53157 80041 95602 98774 106314 106633 143403 148161 160082 172819 178553 213266 240123 286806 296322 319899 345638 357106 480246 481687 518457 535659 639798 963374 1036914 1071318 1386229 1445061 2246647 2321189 2772458 2890122 4158687 4493294 4642378 5011751 6261931 6739941 6963567 8317374 10023502 12523862 13479882 13927134 13968923 15035253 18785793 22639289 27937846 30070506 37571586 41906769 45278578 65152763 67917867 83813538 130305526 135835734 181595999 195458289 294310757 363191998 390916578 544787997 588621514 656539381 882932271 1089575994 1313078762 1765864542 1969618143 3939236286 8535011953 17070023906 25605035859 51210071718