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52241414225 = 527112131011879
BaseRepresentation
bin110000101001110101…
…001011100001010001
311222211210102210220112
4300221311023201101
51323442300223400
635555510451105
73526406460050
oct605165134121
9158753383815
1052241414225
1120178a09800
12a15b663a95
134c07241830
1427582ac397
15155b542835
hexc29d4b851

52241414225 has 144 divisors (see below), whose sum is σ = 88550165760. Its totient is φ = 29747520000.

The previous prime is 52241414221. The next prime is 52241414327.

52241414225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52241414225 - 22 = 52241414221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 52241414191 and 52241414200.

It is not an unprimeable number, because it can be changed into a prime (52241414221) 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, 27801836 + ... + 27803714.

Almost surely, 252241414225 is an apocalyptic number.

52241414225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52241414225 is a deficient number, since it is larger than the sum of its proper divisors (36308751535).

52241414225 is a wasteful number, since it uses less digits than its factorization.

52241414225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2016 counting only the distinct ones).

The product of its digits is 25600, while the sum is 32.

The spelling of 52241414225 in words is "fifty-two billion, two hundred forty-one million, four hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 55 65 77 91 101 121 143 175 275 325 385 455 505 605 707 715 847 1001 1111 1313 1573 1879 1925 2275 2525 3025 3535 3575 4235 5005 5555 6565 7777 7865 9191 9395 11011 12221 13153 14443 17675 20669 21175 24427 25025 27775 32825 38885 39325 45955 46975 55055 61105 65765 72215 85547 101101 103345 122135 144683 158873 170989 189779 194425 227359 229775 268697 275275 305525 328825 361075 427735 505505 516725 610675 723415 794365 854945 948895 1112111 1136795 1328453 1343485 1591513 1880879 2087569 2138675 2467127 2527525 2955667 3617075 3971825 4274725 4744475 5560555 5683975 6642265 6717425 7957565 9404395 10437845 12335635 14612983 14778335 17269889 20689669 22963259 27138397 27802775 33211325 39787825 47021975 52189225 61678175 73064915 73891675 86349445 103448345 114816295 135691985 160742813 189968779 298522367 365324575 431747225 517241725 574081475 678459925 803714065 949843895 1492611835 2089656569 4018570325 4749219475 7463059175 10448282845 52241414225