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5944861312992 = 253278933133033
BaseRepresentation
bin101011010000010010101…
…0110001100011111100000
3210001022201121101000220100
41112200211112030133200
51234400033444003432
620351010453342400
71152334130256510
oct126404526143740
923038647330810
105944861312992
111992224257838
128001a2037a00
133417a0ac3994
14167a38c19840
15a498d3e407c
hex5682558c7e0

5944861312992 has 144 divisors (see below), whose sum is σ = 19537887489120. Its totient is φ = 1679447126016.

The previous prime is 5944861312991. The next prime is 5944861313009. The reversal of 5944861312992 is 2992131684495.

5944861312992 is a `hidden beast` number, since 5 + 9 + 4 + 4 + 8 + 613 + 1 + 2 + 9 + 9 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5944861312991) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16387093 + ... + 16745940.

It is an arithmetic number, because the mean of its divisors is an integer number (135679774230).

Almost surely, 25944861312992 is an apocalyptic number.

It is an amenable number.

5944861312992 is an abundant number, since it is smaller than the sum of its proper divisors (13593026176128).

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

5944861312992 is a wasteful number, since it uses less digits than its factorization.

5944861312992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33133145 (or 33133134 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 5944861312992 in words is "five trillion, nine hundred forty-four billion, eight hundred sixty-one million, three hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 89 96 112 126 144 168 178 224 252 267 288 336 356 504 534 623 672 712 801 1008 1068 1246 1424 1602 1869 2016 2136 2492 2848 3204 3738 4272 4984 5607 6408 7476 8544 9968 11214 12816 14952 19936 22428 25632 29904 44856 59808 89712 179424 33133033 66266066 99399099 132532132 198798198 231931231 265064264 298197297 397596396 463862462 530128528 596394594 695793693 795192792 927724924 1060257056 1192789188 1391587386 1590385584 1855449848 2087381079 2385578376 2783174772 2948839937 3180771168 3710899696 4174762158 4771156752 5566349544 5897679874 7421799392 8349524316 8846519811 9542313504 11132699088 11795359748 16699048632 17693039622 20641879559 22265398176 23590719496 26539559433 33398097264 35386079244 41283759118 47181438992 53079118866 61925638677 66796194528 70772158488 82567518236 94362877984 106158237732 123851277354 141544316976 165135036472 185776916031 212316475464 247702554708 283088633952 330270072944 371553832062 424632950928 495405109416 660540145888 743107664124 849265901856 990810218832 1486215328248 1981620437664 2972430656496 5944861312992