Search a number
-
+
51387299278315 = 57211132234905491
BaseRepresentation
bin10111010111100100010011…
…01110000010110111101011
320201221120121020111112211021
423223302021232002313223
523213412142103401230
6301142555511313311
713552416115626100
oct1353621156026753
9221846536445737
1051387299278315
111541225a862180
12591b25267b837
132289a55c62600
14c99231110aa7
155e1a7cc87c7a
hex2ebc89b82deb

51387299278315 has 144 divisors (see below), whose sum is σ = 88420355225856. Its totient is φ = 28283878022400.

The previous prime is 51387299278309. The next prime is 51387299278421.

51387299278315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51387299278315 - 215 = 51387299245547 is a prime.

It is a super-2 number, since 2×513872992783152 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8022720 + ... + 12928210.

It is an arithmetic number, because the mean of its divisors is an integer number (614030244624).

Almost surely, 251387299278315 is an apocalyptic number.

51387299278315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51387299278315 is a deficient number, since it is larger than the sum of its proper divisors (37033055947541).

51387299278315 is a wasteful number, since it uses less digits than its factorization.

51387299278315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905570 (or 4905550 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 70.

The spelling of 51387299278315 in words is "fifty-one trillion, three hundred eighty-seven billion, two hundred ninety-nine million, two hundred seventy-eight thousand, three hundred fifteen".

Divisors: 1 5 7 11 13 23 35 49 55 65 77 91 115 143 161 169 245 253 299 385 455 539 637 715 805 845 1001 1127 1183 1265 1495 1771 1859 2093 2695 3185 3289 3887 5005 5635 5915 7007 8281 8855 9295 10465 12397 13013 14651 16445 19435 23023 27209 35035 41405 42757 61985 65065 73255 91091 115115 136045 161161 190463 213785 299299 455455 805805 952315 1496495 2095093 4905491 10475465 24527455 34338437 53960401 63771383 112826293 171692185 240369059 269802005 318856915 377722807 446399681 564131465 701485213 789784051 829027979 1201845295 1241089223 1466741809 1888614035 2231998405 2644059649 3124797767 3507426065 3948920255 4145139895 4910396491 5528488357 5803195853 6205446115 7333709045 8687624561 9119307769 10267192663 13220298245 15623988835 16134159899 19067643517 24551982455 27642441785 29015979265 34372775437 40622370971 43438122805 45596538845 51335963315 60813371927 63835154383 71870348641 80670799495 95338217585 112939119293 133473504619 171863877185 203111854855 209744078687 304066859635 319175771915 359351743205 446846080681 564695596465 667367523095 790573835051 934314532333 1048720393435 1468208550809 2234230403405 3952869175255 4671572661665 7341042754045 10277459855663 51387299278315