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52426533562425 = 33521137190832773
BaseRepresentation
bin10111110101110100000001…
…11010001110100000111001
320212121221001021011010002000
423322322000322032200321
523332424020042444200
6303300230024531213
714020456242403101
oct1372720072164071
9225557037133060
1052426533562425
1115782a71491460
125a68744020b09
132333a54772779
14cd365a162201
1560db03b82300
hex2fae80e8e839

52426533562425 has 96 divisors (see below), whose sum is σ = 107904483730560. Its totient is φ = 24731927251200.

The previous prime is 52426533562421. The next prime is 52426533562463.

52426533562425 is a `hidden beast` number, since 5 + 2 + 4 + 2 + 6 + 5 + 3 + 3 + 5 + 624 + 2 + 5 = 666.

52426533562425 is nontrivially palindromic in base 10.

52426533562425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52426533562425 - 22 = 52426533562421 is a prime.

It is a super-2 number, since 2×524265335624252 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52426533562421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95141662 + ... + 95691111.

It is an arithmetic number, because the mean of its divisors is an integer number (1124005038860).

Almost surely, 252426533562425 is an apocalyptic number.

52426533562425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52426533562425 is an abundant number, since it is smaller than the sum of its proper divisors (55477950168135).

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

52426533562425 is a wasteful number, since it uses less digits than its factorization.

52426533562425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190832840 (or 190832829 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

The spelling of 52426533562425 in words is "fifty-two trillion, four hundred twenty-six billion, five hundred thirty-three million, five hundred sixty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 37 45 55 75 99 111 135 165 185 225 275 297 333 407 495 555 675 825 925 999 1221 1485 1665 2035 2475 2775 3663 4995 6105 7425 8325 10175 10989 18315 24975 30525 54945 91575 274725 190832773 572498319 954163865 1717494957 2099160503 2862491595 4770819325 5152484871 6297481509 7060812601 8587474785 10495802515 14312457975 18892444527 21182437803 25762424355 31487407545 35304063005 42937373925 52479012575 56677333581 63547313409 77668938611 94462222635 105912189015 128812121775 157437037725 176520315025 190641940227 233006815833 283386667905 317736567045 388344693055 472311113175 529560945075 699020447499 953209701135 1165034079165 1416933339525 1588682835225 1941723465275 2097061342497 3495102237495 4766048505675 5825170395825 10485306712485 17475511187475 52426533562425