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2041663753552 = 241773496920693
BaseRepresentation
bin11101101101011100101…
…001001000110101010000
321020011220001112211021111
4131231130221020311100
5231422311410103202
64201532151503104
7300335221365223
oct35553451106520
97204801484244
102041663753552
11717956a65565
1228b831087a94
1311a6b3211c97
1470b61dc95ba
1538195aa86d7
hex1db5ca48d50

2041663753552 has 80 divisors (see below), whose sum is σ = 4246848340560. Its totient is φ = 947385040896.

The previous prime is 2041663753517. The next prime is 2041663753553. The reversal of 2041663753552 is 2553573661402.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 128797725456 + 1912866028096 = 358884^2 + 1383064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2041663753496 and 2041663753505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041663753553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98654118 + ... + 98674810.

It is an arithmetic number, because the mean of its divisors is an integer number (53085604257).

Almost surely, 22041663753552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041663753552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123424170280).

2041663753552 is an abundant number, since it is smaller than the sum of its proper divisors (2205184587008).

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

2041663753552 is a wasteful number, since it uses less digits than its factorization.

2041663753552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25760 (or 25754 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 49.

The spelling of 2041663753552 in words is "two trillion, forty-one billion, six hundred sixty-three million, seven hundred fifty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 68 73 136 146 272 292 584 1168 1241 2482 4964 4969 9928 9938 19856 19876 20693 39752 41386 79504 82772 84473 165544 168946 331088 337892 351781 362737 675784 703562 725474 1351568 1407124 1450948 1510589 2814248 2901896 3021178 5628496 5803792 6042356 6166529 12084712 12333058 24169424 24666116 25680013 49332232 51360026 98664464 102720052 102823517 205440104 205647034 410880208 411294068 822588136 1645176272 1747999789 3495999578 6991999156 7506116741 13983998312 15012233482 27967996624 30024466964 60048933928 120097867856 127603984597 255207969194 510415938388 1020831876776 2041663753552