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5331320544144 = 2437174409211693
BaseRepresentation
bin100110110010100101101…
…1101111001101110010000
3200212200001220011122112210
41031211023131321232100
51144322021024403034
615201101433352120
71060114043630340
oct115451335715620
920780056148483
105331320544144
111776000507191
127212b4568640
132c8983a36c1a
14146074480d20
1593a2e9068e9
hex4d94b779b90

5331320544144 has 160 divisors (see below), whose sum is σ = 16669835562240. Its totient is φ = 1433300484096.

The previous prime is 5331320544133. The next prime is 5331320544217. The reversal of 5331320544144 is 4414450231335.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25078362 + ... + 25290054.

It is an arithmetic number, because the mean of its divisors is an integer number (104186472264).

Almost surely, 25331320544144 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 5331320544144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8334917781120).

5331320544144 is an abundant number, since it is smaller than the sum of its proper divisors (11338515018096).

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

5331320544144 is a wasteful number, since it uses less digits than its factorization.

5331320544144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216137 (or 216131 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 5331320544144 its reverse (4414450231335), we get a palindrome (9745770775479).

The spelling of 5331320544144 in words is "five trillion, three hundred thirty-one billion, three hundred twenty million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 4409 5712 8818 13227 17636 26454 30863 35272 52908 61726 70544 74953 92589 105816 123452 149906 185178 211632 211693 224859 246904 299812 370356 423386 449718 493808 524671 599624 635079 740712 846772 899436 1049342 1199248 1270158 1481424 1481851 1574013 1693544 1798872 2098684 2540316 2963702 3148026 3387088 3597744 3598781 4197368 4445553 5080632 5927404 6296052 7197562 8394736 8891106 10161264 10796343 11854808 12592104 14395124 17782212 21592686 23709616 25184208 25191467 28790248 35564424 43185372 50382934 57580496 71128848 75574401 86370744 100765868 151148802 172741488 201531736 302297604 403063472 604595208 933354437 1209190416 1866708874 2800063311 3733417748 5600126622 6533481059 7466835496 11200253244 13066962118 14933670992 15867025429 19600443177 22400506488 26133924236 31734050858 39200886354 44801012976 47601076287 52267848472 63468101716 78401772708 95202152574 104535696944 111069178003 126936203432 156803545416 190404305148 222138356006 253872406864 313607090832 333207534009 380808610296 444276712012 666415068018 761617220592 888553424024 1332830136036 1777106848048 2665660272072 5331320544144