Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
5144653656513 = 34743618594027
BaseRepresentation
bin100101011011101010101…
…0000001111000111000001
3200012211020202111020210000
41022313111100033013001
51133242222314002023
614535230554230213
71040455212361140
oct112672520170701
920184222436700
105144653656513
111703920960718
126b109a125369
132b41a5b0c067
1413b00707b757
158dc56c84243
hex4add540f1c1

5144653656513 has 160 divisors (see below), whose sum is σ = 9147609912320. Its totient is φ = 2820373395840.

The previous prime is 5144653656449. The next prime is 5144653656517. The reversal of 5144653656513 is 3156563564415.

5144653656513 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 6 + 536 + 56 + 51 + 3 = 666.

It is not a de Polignac number, because 5144653656513 - 26 = 5144653656449 is a prime.

It is a super-2 number, since 2×51446536565132 (a number of 26 digits) contains 22 as substring.

Its product of digits (19440000) is a multiple of the sum of its prime divisors (5000).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5144653656513.

It is not an unprimeable number, because it can be changed into a prime (5144653656517) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1277538006 + ... + 1277542032.

It is an arithmetic number, because the mean of its divisors is an integer number (57172561952).

Almost surely, 25144653656513 is an apocalyptic number.

It is an amenable number.

5144653656513 is a deficient number, since it is larger than the sum of its proper divisors (4002956255807).

5144653656513 is a wasteful number, since it uses less digits than its factorization.

5144653656513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009 (or 5000 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 54.

The spelling of 5144653656513 in words is "five trillion, one hundred forty-four billion, six hundred fifty-three million, six hundred fifty-six thousand, five hundred thirteen".

Divisors: 1 3 7 9 21 27 43 61 63 81 129 183 189 301 387 427 549 567 859 903 1161 1281 1647 2577 2623 2709 3483 3843 4027 4941 6013 7731 7869 8127 11529 12081 18039 18361 23193 23607 24381 28189 34587 36243 36937 52399 54117 55083 69579 70821 84567 108729 110811 157197 162351 165249 173161 212463 245647 253701 258559 326187 332433 366793 471591 487053 495747 519483 736941 761103 775677 997299 1100379 1212127 1414773 1487241 1558449 1719529 2210823 2253157 2283309 2327031 2991897 3301137 3459193 3636381 4244319 4675347 5158587 6632469 6759471 6981093 9903411 10377579 10562821 10909143 14026041 15475761 15772099 19897407 20278413 20943279 24214351 29710233 31132737 31688463 32727429 46427283 47316297 60835239 72643053 73939747 93398211 95065389 98182287 139281849 141948891 148745299 182505717 211010773 217929159 221819241 280194633 285196167 425846673 446235897 633032319 653787477 665457723 855588501 1041217093 1277540019 1338707691 1477075411 1899096957 1961362431 1996373169 3123651279 4016123073 4431226233 5697290871 5989119507 9073463239 9370953837 12048369219 13293678699 17091872613 27220389717 28112861511 39881036097 63514242673 81661169151 84338584533 119643108291 190542728019 244983507453 571628184057 734950522359 1714884552171 5144653656513