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4943329664 = 277133971069
BaseRepresentation
bin1001001101010010…
…10011100110000000
3110202111202011110212
410212221103212000
540110443022124
62134304413252
7233333415560
oct44651234600
913674664425
104943329664
112107420819
12b5b617228
1360a1a9350
1434c74cda0
151ddeb040e
hex126a53980

4943329664 has 128 divisors (see below), whose sum is σ = 12162561600. Its totient is φ = 1948852224.

The previous prime is 4943329639. The next prime is 4943329673. The reversal of 4943329664 is 4669233494.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4623722 + ... + 4624790.

Almost surely, 24943329664 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 4943329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081280800).

4943329664 is an abundant number, since it is smaller than the sum of its proper divisors (7219231936).

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

4943329664 is a wasteful number, since it uses less digits than its factorization.

4943329664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1488 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 50.

The square root of 4943329664 is about 70308.8164030657. The cubic root of 4943329664 is about 1703.4910571287.

It can be divided in two parts, 49433 and 29664, that added together give a palindrome (79097).

The spelling of 4943329664 in words is "four billion, nine hundred forty-three million, three hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 397 416 448 728 794 832 896 1069 1456 1588 1664 2138 2779 2912 3176 4276 5161 5558 5824 6352 7483 8552 10322 11116 11648 12704 13897 14966 17104 20644 22232 25408 27794 29932 34208 36127 41288 44464 50816 55588 59864 68416 72254 82576 88928 97279 111176 119728 136832 144508 165152 177856 194558 222352 239456 289016 330304 355712 389116 424393 444704 478912 578032 660608 778232 848786 889408 957824 1156064 1556464 1697572 1778816 2312128 2970751 3112928 3395144 4624256 5517109 5941502 6225856 6790288 11034218 11883004 12451712 13580576 22068436 23766008 27161152 38619763 44136872 47532016 54322304 77239526 88273744 95064032 154479052 176547488 190128064 308958104 353094976 380256128 617916208 706189952 1235832416 2471664832 4943329664