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20184169041 = 32232292712
BaseRepresentation
bin10010110011000100…
…011111101001010001
31221002200002000200100
4102303010133221101
5312314121402131
613134504443013
71313116414611
oct226304375121
957080060610
1020184169041
118618489a43
123ab3779469
131b988ab2ba
14d96946a41
157d1ee97e6
hex4b311fa51

20184169041 has 81 divisors (see below), whose sum is σ = 32015657947. Its totient is φ = 12252203040.

The previous prime is 20184169007. The next prime is 20184169051. The reversal of 20184169041 is 14096148102.

The square root of 20184169041 is 142071.

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

It can be written as a sum of positive squares in only one way, i.e., 10584088641 + 9600080400 = 102879^2 + 97980^2 .

It is not a de Polignac number, because 20184169041 - 211 = 20184166993 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20184168987 and 20184169005.

It is not an unprimeable number, because it can be changed into a prime (20184169051) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 284284036 + ... + 284284106.

Almost surely, 220184169041 is an apocalyptic number.

20184169041 is the 142071-st square number.

20184169041 is the 71036-th centered octagonal number.

It is an amenable number.

20184169041 is a deficient number, since it is larger than the sum of its proper divisors (11831488906).

20184169041 is an equidigital number, since it uses as much as digits as its factorization.

20184169041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 20184169041 by its sum of digits (36), we get a square (726630085476 = 8524262).

It can be divided in two parts, 20184 and 169041, that added together give a square (189225 = 4352).

The spelling of 20184169041 in words is "twenty billion, one hundred eighty-four million, one hundred sixty-nine thousand, forty-one".

Divisors: 1 3 9 23 29 69 71 87 207 213 261 529 639 667 841 1587 1633 2001 2059 2523 4761 4899 5041 6003 6177 7569 14697 15123 15341 18531 19343 37559 45369 46023 47357 58029 59711 112677 115943 138069 142071 146189 174087 179133 338031 347829 426213 438567 444889 537399 1043487 1089211 1315701 1334667 1373353 2666689 3267633 3362347 4004001 4120059 4239481 8000067 9802899 10087041 12360177 12718443 24000201 30261123 31587119 38155329 77333981 94761357 97508063 232001943 284284071 292524189 696005829 877572567 2242685449 6728056347 20184169041