Search a number
-
+
500612712120117 = 321723467756140289
BaseRepresentation
bin111000111010011011111101…
…0111000000011111100110101
32102122112002220122112022102100
41301310313322320003330311
51011104014313300320432
64532414145520532313
7210306034455150402
oct16164677270037465
92378462818468370
10500612712120117
11135568728055363
1248192120481099
1318644764b7995c
148b89adab2d2a9
153cd21437a507c
hex1c74dfae03f35

500612712120117 has 96 divisors (see below), whose sum is σ = 800768337258240. Its totient is φ = 299762522357760.

The previous prime is 500612712120113. The next prime is 500612712120119. The reversal of 500612712120117 is 711021217216005.

It is a happy number.

500612712120117 is a `hidden beast` number, since 5 + 0 + 0 + 61 + 271 + 212 + 0 + 117 = 666.

It is not a de Polignac number, because 500612712120117 - 22 = 500612712120113 is a prime.

It is a super-3 number, since 3×5006127121201173 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500612712120113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12425523109 + ... + 12425563397.

It is an arithmetic number, because the mean of its divisors is an integer number (8341336846440).

Almost surely, 2500612712120117 is an apocalyptic number.

It is an amenable number.

500612712120117 is a deficient number, since it is larger than the sum of its proper divisors (300155625138123).

500612712120117 is a wasteful number, since it uses less digits than its factorization.

500612712120117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48363 (or 48360 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 500612712120117 in words is "five hundred trillion, six hundred twelve billion, seven hundred twelve million, one hundred twenty thousand, one hundred seventeen".

Divisors: 1 3 9 17 23 51 69 153 207 391 467 1173 1401 3519 4203 7561 7939 10741 22683 23817 32223 40289 68049 71451 96669 120867 128537 173903 182597 362601 385611 521709 547791 684913 926647 1156833 1565127 1643373 2054739 2779941 2956351 3530987 6164217 8339823 8869053 10592961 15752999 18814963 26607159 31778883 47258997 56444889 60026779 81212701 141776991 169334667 180080337 243638103 304625129 319854371 432744149 540241011 730914309 913875387 959563113 1298232447 1380615917 2741626161 2878689339 3894697341 4141847751 5178627193 7006377967 7356650533 12425543253 15535881579 21019133901 22069951599 46607644737 63057401703 66209854797 119108425439 142259935243 357325276317 426779805729 1071975828951 1280339417187 2418418899131 3271978510589 7255256697393 9815935531767 21765770092179 29447806595301 55623634680013 166870904040039 500612712120117