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20283953220441 = 34109245912
BaseRepresentation
bin1001001110010101110011…
…10100111000101101011001
32122211010102120112200010000
410213022321310320231121
510124313014011023231
6111050153001043213
74162316161411341
oct447127164705531
978733376480100
1020283953220441
116510415878349
1223371baa86509
13b419cb75aac1
14501a6a131d21
152529738ad6e6
hex1272b9d38b59

20283953220441 has 45 divisors (see below), whose sum is σ = 30587921436303. Its totient is φ = 13395656160720.

The previous prime is 20283953220439. The next prime is 20283953220451. The reversal of 20283953220441 is 14402235938202.

The square root of 20283953220441 is 4503771.

It is a perfect power (a square), and thus also a powerful number.

20283953220441 is a `hidden beast` number, since 2 + 0 + 28 + 39 + 532 + 20 + 4 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14137818080841 + 6146135139600 = 3760029^2 + 2479140^2 .

It is not a de Polignac number, because 20283953220441 - 21 = 20283953220439 is a prime.

It is a super-2 number, since 2×202839532204412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20283953220451) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4418197056 + ... + 4418201646.

Almost surely, 220283953220441 is an apocalyptic number.

20283953220441 is the 4503771-st square number.

20283953220441 is the 2251886-th centered octagonal number.

It is an amenable number.

20283953220441 is a deficient number, since it is larger than the sum of its proper divisors (10303968215862).

20283953220441 is an frugal number, since it uses more digits than its factorization.

20283953220441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9412 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 20283953220441 in words is "twenty trillion, two hundred eighty-three billion, nine hundred fifty-three million, two hundred twenty thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 109 327 981 2943 4591 8829 11881 13773 35643 41319 106929 123957 320787 371871 500419 962361 1501257 4503771 13511313 21077281 40533939 54545671 63231843 163637013 189695529 490911039 569086587 1472733117 1707259761 2297423629 4418199351 6892270887 20676812661 62030437983 186091313949 250419175561 751257526683 2253772580049 6761317740147 20283953220441