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663342248016 = 24337534138853
BaseRepresentation
bin10011010011100100100…
…01110111000001010000
32100102012110110122121000
421221302101313001100
541332011103414031
61224422450302000
765632145035020
oct11516221670120
92312173418530
10663342248016
1123635a450aa8
12a8687b87900
134a72596c836
142416a98da80
15123c5c1b3e6
hex9a72477050

663342248016 has 160 divisors (see below), whose sum is σ = 2217101310720. Its totient is φ = 185950342656.

The previous prime is 663342248011. The next prime is 663342248017. The reversal of 663342248016 is 610842243366.

663342248016 is a `hidden beast` number, since 6 + 6 + 334 + 224 + 80 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663342248011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1909155 + ... + 2229698.

It is an arithmetic number, because the mean of its divisors is an integer number (13856883192).

Almost surely, 2663342248016 is an apocalyptic number.

It is an amenable number.

663342248016 is an abundant number, since it is smaller than the sum of its proper divisors (1553759062704).

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

663342248016 is a wasteful number, since it uses less digits than its factorization.

663342248016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138930 (or 4138918 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 663342248016 in words is "six hundred sixty-three billion, three hundred forty-two million, two hundred forty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 53 54 56 63 72 84 106 108 112 126 144 159 168 189 212 216 252 318 336 371 378 424 432 477 504 636 742 756 848 954 1008 1113 1272 1431 1484 1512 1908 2226 2544 2862 2968 3024 3339 3816 4452 5724 5936 6678 7632 8904 10017 11448 13356 17808 20034 22896 26712 40068 53424 80136 160272 4138853 8277706 12416559 16555412 24833118 28971971 33110824 37249677 49666236 57943942 66221648 74499354 86915913 99332472 111749031 115887884 148998708 173831826 198664944 219359209 223498062 231775768 260747739 297997416 347663652 438718418 446996124 463551536 521495478 595994832 658077627 695327304 782243217 877436836 893992248 1042990956 1316155254 1390654608 1535514463 1564486434 1754873672 1787984496 1974232881 2085981912 2632310508 3071028926 3128972868 3509747344 3948465762 4171963824 4606543389 5264621016 5922698643 6142057852 6257945736 7896931524 9213086778 10529242032 11845397286 12284115704 12515891472 13819630167 15793863048 18426173556 23690794572 24568231408 27639260334 31587726096 36852347112 41458890501 47381589144 55278520668 73704694224 82917781002 94763178288 110557041336 165835562004 221114082672 331671124008 663342248016