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64213294848 = 283317336947
BaseRepresentation
bin111011110011011010…
…010001111100000000
320010202010122100201120
4323303122101330000
52023002100413343
645255453432240
74432160000103
oct736332217400
9203663570646
1064213294848
112526180491a
1210540a9b680
13609460c371
14317228a73a
151a0c5ab683
hexef3691f00

64213294848 has 144 divisors (see below), whose sum is σ = 178835414016. Its totient is φ = 20429660160.

The previous prime is 64213294837. The next prime is 64213294867. The reversal of 64213294848 is 84849231246.

64213294848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 64213294848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1719511 + ... + 1756457.

Almost surely, 264213294848 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 64213294848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89417707008).

64213294848 is an abundant number, since it is smaller than the sum of its proper divisors (114622119168).

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

64213294848 is a wasteful number, since it uses less digits than its factorization.

64213294848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37070 (or 37056 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The spelling of 64213294848 in words is "sixty-four billion, two hundred thirteen million, two hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 73 93 96 124 128 146 186 192 219 248 256 292 372 384 438 496 584 744 768 876 992 1168 1488 1752 1984 2263 2336 2976 3504 3968 4526 4672 5952 6789 7008 7936 9052 9344 11904 13578 14016 18104 18688 23808 27156 28032 36208 36947 54312 56064 72416 73894 108624 110841 144832 147788 217248 221682 289664 295576 434496 443364 579328 591152 868992 886728 1145357 1182304 1737984 1773456 2290714 2364608 2697131 3436071 3546912 4581428 4729216 5394262 6872142 7093824 8091393 9162856 9458432 10788524 13744284 14187648 16182786 18325712 21577048 27488568 28375296 32365572 36651424 43154096 54977136 64731144 73302848 83611061 86308192 109954272 129462288 146605696 167222122 172616384 219908544 250833183 258924576 293211392 334444244 345232768 439817088 501666366 517849152 668888488 690465536 879634176 1003332732 1035698304 1337776976 2006665464 2071396608 2675553952 4013330928 5351107904 8026661856 10702215808 16053323712 21404431616 32106647424 64213294848