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5224146414225 = 3524143157251653
BaseRepresentation
bin100110000000101011101…
…1001000010101010010001
3200111102102202010202011120
41030001113121002222101
51141043022440223400
615035534552032453
71046301134563224
oct114012731025221
920442382122146
105224146414225
1117346035040a2
12704584092729
132bb833b244bb
14140bc86d75bb
1590d5a958ca0
hex4c057642a91

5224146414225 has 96 divisors (see below), whose sum is σ = 9111388750464. Its totient is φ = 2638118246400.

The previous prime is 5224146414203. The next prime is 5224146414239.

5224146414225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5224146414225 - 212 = 5224146410129 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20633499 + ... + 20885151.

It is an arithmetic number, because the mean of its divisors is an integer number (94910299484).

Almost surely, 25224146414225 is an apocalyptic number.

It is an amenable number.

5224146414225 is a deficient number, since it is larger than the sum of its proper divisors (3887242336239).

5224146414225 is a wasteful number, since it uses less digits than its factorization.

5224146414225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251907 (or 251902 counting only the distinct ones).

The product of its digits is 614400, while the sum is 42.

The spelling of 5224146414225 in words is "five trillion, two hundred twenty-four billion, one hundred forty-six million, four hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 41 43 75 123 129 157 205 215 471 615 645 785 1025 1075 1763 2355 3075 3225 3925 5289 6437 6751 8815 11775 19311 20253 26445 32185 33755 44075 96555 101265 132225 160925 168775 251653 276791 482775 506325 754959 830373 1258265 1383955 3774795 4151865 6291325 6919775 10317773 10821079 18873975 20759325 30953319 32463237 39509521 51588865 54105395 118528563 154766595 162316185 197547605 257944325 270526975 443664239 592642815 773832975 811580925 987738025 1330992717 1619890361 1698909403 2218321195 2963214075 4859671083 5096728209 6654963585 8099451805 8494547015 11091605975 24298355415 25483641045 33274817925 40497259025 42472735075 69655285523 121491777075 127418205225 208965856569 348276427615 1044829282845 1741382138075 5224146414225