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2032683221284 = 2217219222072
BaseRepresentation
bin11101100101000101010…
…111001000000100100100
321012022201012002111222021
4131211011113020010210
5231300413401040114
64153445103512524
7266566533205342
oct35450527100444
97168635074867
102032683221284
11714068760771
12289b455b8744
131198b17b9a71
147054d400992
1537d1c475024
hex1d9455c8124

2032683221284 has 81 divisors (see below), whose sum is σ = 3989908006833. Its totient is φ = 905801106816.

The previous prime is 2032683221269. The next prime is 2032683221287. The reversal of 2032683221284 is 4821223862302.

It is a happy number.

The square root of 2032683221284 is 1425722.

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., 1582538840100 + 450144381184 = 1257990^2 + 670928^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2032683221284.

It is not an unprimeable number, because it can be changed into a prime (2032683221287) 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 26 ways as a sum of consecutive naturals, for example, 921015309 + ... + 921017515.

Almost surely, 22032683221284 is an apocalyptic number.

2032683221284 is the 1425722-nd square number.

It is an amenable number.

2032683221284 is a deficient number, since it is larger than the sum of its proper divisors (1957224785549).

2032683221284 is an equidigital number, since it uses as much as digits as its factorization.

2032683221284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 2032683221284 in words is "two trillion, thirty-two billion, six hundred eighty-three million, two hundred twenty-one thousand, two hundred eighty-four".

Divisors: 1 2 4 17 19 34 38 68 76 289 323 361 578 646 722 1156 1292 1444 2207 4414 5491 6137 8828 10982 12274 21964 24548 37519 41933 75038 83866 104329 150076 167732 208658 417316 637823 712861 796727 1275646 1425722 1593454 2551292 2851444 3186908 4870849 9741698 12118637 13544359 19483396 24237274 27088718 48474548 54177436 82804433 92546131 165608866 185092262 230254103 331217732 370184524 460508206 921016412 1407675361 1573284227 1758376489 2815350722 3146568454 3516752978 5630701444 6293136908 7033505956 26745831859 29892400313 53491663718 59784800626 106983327436 119569601252 508170805321 1016341610642 2032683221284