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6463240640304 = 2437198819114799
BaseRepresentation
bin101111000001101011100…
…1010011001011100110000
3211212212202100112022102020
41132003113022121130300
51321343204100442204
621425101033351440
71234645061662620
oct136032712313460
924785670468366
106463240640304
112072054932938
12884752268580
1337b633925c56
14184b72dac880
15b31cc85dbd9
hex5e0d7299730

6463240640304 has 160 divisors (see below), whose sum is σ = 20088714240000. Its totient is φ = 1749234984192.

The previous prime is 6463240640299. The next prime is 6463240640309. The reversal of 6463240640304 is 4030460423646.

It is an interprime number because it is at equal distance from previous prime (6463240640299) and next prime (6463240640309).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6463240640309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56243097 + ... + 56357895.

It is an arithmetic number, because the mean of its divisors is an integer number (125554464000).

Almost surely, 26463240640304 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 6463240640304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10044357120000).

6463240640304 is an abundant number, since it is smaller than the sum of its proper divisors (13625473599696).

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

6463240640304 is a wasteful number, since it uses less digits than its factorization.

6463240640304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123655 (or 123649 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 42.

The spelling of 6463240640304 in words is "six trillion, four hundred sixty-three billion, two hundred forty million, six hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 8819 17638 26457 35276 52914 61733 70552 105828 114799 123466 141104 167561 185199 211656 229598 246932 335122 344397 370398 423312 459196 493864 502683 670244 688794 740796 803593 918392 987728 1005366 1172927 1340488 1377588 1481592 1607186 1836784 2010732 2181181 2345854 2410779 2680976 2755176 2963184 3214372 3518781 4021464 4362362 4691708 4821558 5510352 6428744 6543543 7037562 8042928 8724724 9383416 9643116 12857488 13087086 14075124 15268267 17449448 18766832 19286232 26174172 28150248 30536534 34898896 38572464 45804801 52348344 56300496 61073068 91609602 104696688 122146136 183219204 244292272 366438408 732876816 1012412381 2024824762 3037237143 4049649524 6074474286 7086886667 8099299048 12148948572 14173773334 16198598096 19235835239 21260660001 24297897144 28347546668 38471670478 42521320002 48595794288 56695093336 57707505717 76943340956 85042640004 113390186672 115415011434 134650846673 153886681912 170085280008 230830022868 269301693346 307773363824 340170560016 403952540019 461660045736 538603386692 807905080038 923320091472 1077206773384 1615810160076 2154413546768 3231620320152 6463240640304