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52024266242025 = 35272116432001451
BaseRepresentation
bin10111101010000110101111…
…11010001011011111101001
320211012110201120012221012120
423311003113322023133221
523304331144124221100
6302351341252101453
713646425546526400
oct1365032772133751
9224173646187176
1052024266242025
1115638405029750
125a02799604889
132304b37491b2c
14cbbdb8bda637
1560340d1c00a0
hex2f50d7e8b7e9

52024266242025 has 144 divisors (see below), whose sum is σ = 109322318423808. Its totient is φ = 21586839120000.

The previous prime is 52024266242023. The next prime is 52024266242041.

52024266242025 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52024266242025 - 21 = 52024266242023 is a prime.

It is a super-2 number, since 2×520242662420252 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52024266242023) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24992550 + ... + 26994000.

It is an arithmetic number, because the mean of its divisors is an integer number (759182766832).

Almost surely, 252024266242025 is an apocalyptic number.

52024266242025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52024266242025 is an abundant number, since it is smaller than the sum of its proper divisors (57298052181783).

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

52024266242025 is a wasteful number, since it uses less digits than its factorization.

52024266242025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002132 (or 2002120 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 52024266242025 in words is "fifty-two trillion, twenty-four billion, two hundred sixty-six million, two hundred forty-two thousand, twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 147 165 175 231 245 275 385 525 539 643 735 825 1155 1225 1617 1925 1929 2695 3215 3675 4501 5775 7073 8085 9645 13475 13503 16075 21219 22505 31507 35365 40425 48225 49511 67515 94521 106095 112525 148533 157535 176825 247555 337575 346577 472605 530475 742665 787675 1039731 1237775 1732885 2001451 2363025 3713325 5198655 6004353 8664425 10007255 14010157 22015961 25993275 30021765 42030471 50036275 66047883 70050785 98071099 110079805 150108825 154111727 210152355 294213297 330239415 350253925 462335181 490355495 550399025 770558635 1050761775 1078782089 1286932993 1471066485 1651197075 2311675905 2451777475 3236346267 3852793175 3860798979 5393910445 6434664965 7355332425 9008530951 11558379525 14156262923 16181731335 19303994895 26969552225 27025592853 32173324825 42468788769 45042654755 63059716657 70781314615 80908656675 96519974475 99093840461 135127964265 189179149971 212343943845 225213273775 297281521383 315298583285 353906573075 495469202305 675639821325 693656883227 945895749855 1061719719225 1486407606915 1576492916425 2080970649681 2477346011525 3468284416135 4729478749275 7432038034575 10404853248405 17341422080675 52024266242025