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5945401284 = 22323193239467
BaseRepresentation
bin1011000100101111…
…11001111111000100
3120100100022200022120
411202113321333010
544134010320114
62421542325540
7300222035304
oct54227717704
916310280276
105945401284
112581029a89
12119b1298b0
13739990434
14405879604
1524be505a9
hex1625f9fc4

5945401284 has 96 divisors (see below), whose sum is σ = 14642933760. Its totient is φ = 1873901568.

The previous prime is 5945401271. The next prime is 5945401361. The reversal of 5945401284 is 4821045495.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12730819 + ... + 12731285.

It is an arithmetic number, because the mean of its divisors is an integer number (152530560).

Almost surely, 25945401284 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 5945401284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321466880).

5945401284 is an abundant number, since it is smaller than the sum of its proper divisors (8697532476).

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

5945401284 is a wasteful number, since it uses less digits than its factorization.

5945401284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 5945401284 is about 77106.4282923285. The cubic root of 5945401284 is about 1811.5919862096.

The spelling of 5945401284 in words is "five billion, nine hundred forty-five million, four hundred one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 193 239 276 386 467 478 579 717 772 934 956 1158 1401 1434 1868 2316 2802 2868 4439 5497 5604 8878 10741 10994 13317 16491 17756 21482 21988 26634 32223 32982 42964 46127 53268 64446 65964 90131 92254 111613 128892 138381 180262 184508 223226 270393 276762 334839 360524 446452 540786 553524 669678 1060921 1081572 1339356 2073013 2121842 2567099 3182763 4146026 4243684 5134198 6219039 6365526 7701297 8292052 10268396 12438078 12731052 15402594 21541309 24876156 30805188 43082618 64623927 86165236 129247854 258495708 495450107 990900214 1486350321 1981800428 2972700642 5945401284