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564423003614752 = 2531612563271597
BaseRepresentation
bin1000000001010101101111100…
…0101000100010111000100000
32202000110022102120120221102021
42000111123320220202320200
51042440001302411133002
65320232203121431224
7226613134124463622
oct20025337050427040
92660408376527367
10564423003614752
1115392a4a70770a7
1253378b61a9b514
131b2c2b264024a9
149d5430d444c12
15453be0e62a737
hex20156f8a22e20

564423003614752 has 144 divisors (see below), whose sum is σ = 1168241259983616. Its totient is φ = 268152597273600.

The previous prime is 564423003614747. The next prime is 564423003614831. The reversal of 564423003614752 is 257416300324465.

It is a self number, because there is not a number n which added to its sum of digits gives 564423003614752.

It is an unprimeable number.

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, 2078027818 + ... + 2078299414.

It is an arithmetic number, because the mean of its divisors is an integer number (8112786527664).

Almost surely, 2564423003614752 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 564423003614752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584120629991808).

564423003614752 is an abundant number, since it is smaller than the sum of its proper divisors (603818256368864).

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

564423003614752 is a wasteful number, since it uses less digits than its factorization.

564423003614752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272323 (or 272254 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 52.

The spelling of 564423003614752 in words is "five hundred sixty-four trillion, four hundred twenty-three billion, three million, six hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 61 62 122 124 244 248 488 496 563 976 992 1126 1891 1952 2252 3721 3782 4504 7442 7564 9008 14884 15128 17453 18016 29768 30256 34343 34906 59536 60512 68686 69812 115351 119072 137372 139624 230702 271597 274744 279248 461404 543194 549488 558496 922808 1064633 1086388 1098976 1845616 2094923 2129266 2172776 3691232 4189846 4258532 4345552 8379692 8419507 8517064 8691104 16567417 16759384 16839014 17034128 33134834 33518768 33678028 34068256 64942613 66269668 67037536 67356056 129885226 132539336 134712112 152909111 259770452 265078672 269424224 305818222 513589927 519540904 530157344 611636444 1010612437 1027179854 1039081808 1223272888 2021224874 2054359708 2078163616 2446545776 4042449748 4108719416 4740182441 4893091552 8084899496 8217438832 9327455771 9480364882 16169798992 16434877664 18654911542 18960729764 31328985547 32339597984 37309823084 37921459528 62657971094 74619646168 75842919056 125315942188 149239292336 151685838112 250631884376 289151128901 298478584672 501263768752 568974802031 578302257802 1002527537504 1137949604062 1156604515604 2275899208124 2313209031208 4551798416248 4626418062416 9103596832496 9252836124832 17638218862961 18207193664992 35276437725922 70552875451844 141105750903688 282211501807376 564423003614752