Search a number
-
+
505124055455151 = 311314776182716693
BaseRepresentation
bin111001011011010000101101…
…1111001001001010110101111
32110020111101110220220211221210
41302312201123321021112233
51012201423031144031101
64550150442041125503
7211253002660613616
oct16266413371112657
92406441426824853
10505124055455151
11136a479aa824980
12487a0514189893
13188b0cbcbac102
148ca41c59b687d
153d5e6811517d6
hex1cb685be495af

505124055455151 has 128 divisors (see below), whose sum is σ = 776565639217152. Its totient is φ = 289208529792000.

The previous prime is 505124055455147. The next prime is 505124055455153. The reversal of 505124055455151 is 151554550421505.

It is not a de Polignac number, because 505124055455151 - 22 = 505124055455147 is a prime.

It is a super-2 number, since 2×5051240554551512 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 505124055455151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505124055455153) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30259624761 + ... + 30259641453.

It is an arithmetic number, because the mean of its divisors is an integer number (6066919056384).

Almost surely, 2505124055455151 is an apocalyptic number.

505124055455151 is a deficient number, since it is larger than the sum of its proper divisors (271441583762001).

505124055455151 is a wasteful number, since it uses less digits than its factorization.

505124055455151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18373.

The product of its (nonzero) digits is 2500000, while the sum is 48.

The spelling of 505124055455151 in words is "five hundred five trillion, one hundred twenty-four billion, fifty-five million, four hundred fifty-five thousand, one hundred fifty-one".

Divisors: 1 3 11 31 33 47 93 141 341 517 761 827 1023 1457 1551 2283 2481 4371 8371 9097 16027 16693 23591 25113 25637 27291 35767 38869 48081 50079 70773 76911 107301 116607 183623 259501 282007 393437 427559 517483 550869 629347 778503 784571 846021 1108777 1180311 1204939 1282677 1552449 1888041 2353713 3326331 3614817 5692313 6922817 8630281 12196547 12703373 13254329 13805111 17076939 19509757 20768451 24321701 25890843 29579309 36589641 38110119 39762987 41415333 58529271 72965103 88737927 139737103 151856221 214607327 267538711 325372399 393804563 419211309 427958441 455568663 597058531 643821981 648840217 802616133 916958579 976117197 1181413689 1283875323 1791175593 1946520651 2750875737 4331850193 4707542851 6567643841 7137242387 10086544369 10505689471 12995550579 14122628553 18508814461 19702931523 20114046727 21411727161 30259633107 31517068413 55526443383 60342140181 115562584181 203596959071 221254513997 325676373601 346687752543 493767405137 610790877213 663763541991 977029120803 1481302215411 3582440109611 5431441456507 10747320328833 15306789559247 16294324369521 45920368677741 168374685151717 505124055455151