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5944660128 = 2532113675113
BaseRepresentation
bin1011000100101010…
…00101000010100000
3120100021221000122100
411202111011002200
544133313111003
62421514410400
7300212530431
oct54225050240
916307830570
105944660128
112580673160
12119aa30a00
13739790c94
14405725488
1524bd55ba3
hex1625450a0

5944660128 has 144 divisors (see below), whose sum is σ = 18495824256. Its totient is φ = 1796152320.

The previous prime is 5944660067. The next prime is 5944660129. The reversal of 5944660128 is 8210664495.

5944660128 is a `hidden beast` number, since 594 + 46 + 6 + 0 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5944660129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1160100 + ... + 1165212.

It is an arithmetic number, because the mean of its divisors is an integer number (128443224).

Almost surely, 25944660128 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 5944660128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9247912128).

5944660128 is an abundant number, since it is smaller than the sum of its proper divisors (12551164128).

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

5944660128 is a wasteful number, since it uses less digits than its factorization.

5944660128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5944660128 is about 77101.6220841040. The cubic root of 5944660128 is about 1811.5167051645.

The spelling of 5944660128 in words is "five billion, nine hundred forty-four million, six hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 367 396 528 734 792 1056 1101 1468 1584 2202 2936 3168 3303 4037 4404 5113 5872 6606 8074 8808 10226 11744 12111 13212 15339 16148 17616 20452 24222 26424 30678 32296 35232 36333 40904 46017 48444 52848 56243 61356 64592 72666 81808 92034 96888 105696 112486 122712 129184 145332 163616 168729 184068 193776 224972 245424 290664 337458 368136 387552 449944 490848 506187 581328 674916 736272 899888 1012374 1162656 1349832 1472544 1799776 1876471 2024748 2699664 3752942 4049496 5399328 5629413 7505884 8098992 11258826 15011768 16197984 16888239 20641181 22517652 30023536 33776478 41282362 45035304 60047072 61923543 67552956 82564724 90070608 123847086 135105912 165129448 180141216 185770629 247694172 270211824 330258896 371541258 495388344 540423648 660517792 743082516 990776688 1486165032 1981553376 2972330064 5944660128