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5945921855664 = 243779349964019
BaseRepresentation
bin101011010000110010010…
…0011110110000010110000
3210001102110111222011221120
41112201210203312002300
51234404221443340124
620351304020422240
71152402325604610
oct126414443660260
923042414864846
105945921855664
11199271897218a
12800439247980
1334190c73ab1b
14167ad9a06a40
15a4a01583d79
hex568648f60b0

5945921855664 has 160 divisors (see below), whose sum is σ = 17782195200000. Its totient is φ = 1676825010432.

The previous prime is 5945921855569. The next prime is 5945921855681. The reversal of 5945921855664 is 4665581295495.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92845447 + ... + 92909465.

It is an arithmetic number, because the mean of its divisors is an integer number (111138720000).

Almost surely, 25945921855664 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 5945921855664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8891097600000).

5945921855664 is an abundant number, since it is smaller than the sum of its proper divisors (11836273344336).

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

5945921855664 is a wasteful number, since it uses less digits than its factorization.

5945921855664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67615 (or 67609 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 69.

The spelling of 5945921855664 in words is "five trillion, nine hundred forty-five billion, nine hundred twenty-one million, eight hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1106 1264 1659 1896 2212 3318 3499 3792 4424 6636 6998 8848 10497 13272 13996 20994 24493 26544 27992 41988 48986 55984 64019 73479 83976 97972 128038 146958 167952 192057 195944 256076 276421 293916 384114 391888 448133 512152 552842 587832 768228 829263 896266 1024304 1105684 1175664 1344399 1536456 1658526 1792532 1934947 2211368 2688798 3072912 3317052 3585064 3869894 4422736 5057501 5377596 5804841 6634104 7170128 7739788 10115002 10755192 11609682 13268208 15172503 15479576 20230004 21510384 23219364 30345006 30959152 35402507 40460008 46438728 60690012 70805014 80920016 92877456 106207521 121380024 141610028 212415042 224002481 242760048 283220056 424830084 448004962 566440112 672007443 849660168 896009924 1344014886 1568017367 1699320336 1792019848 2688029772 3136034734 3584039696 4704052101 5376059544 6272069468 9408104202 10752119088 12544138936 17696195999 18816208404 25088277872 35392391998 37632416808 53088587997 70784783996 75264833616 106177175994 123873371993 141569567992 212354351988 247746743986 283139135984 371620115979 424708703976 495493487972 743240231958 849417407952 990986975944 1486480463916 1981973951888 2972960927832 5945921855664