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64493220648 = 2334773210729
BaseRepresentation
bin111100000100000110…
…000111001100101000
320011110122101001201210
4330010012013030220
52024040231030043
645343333313120
74442126221233
oct740406071450
9204418331653
1064493220648
112539581825a
12105ba7957a0
13610a5cc02c
14319b51641a
151a26e52633
hexf04187328

64493220648 has 96 divisors (see below), whose sum is σ = 166965667200. Its totient is φ = 20750183424.

The previous prime is 64493220647. The next prime is 64493220667. The reversal of 64493220648 is 84602239446.

It is a super-2 number, since 2×644932206482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64493220597 and 64493220606.

It is not an unprimeable number, because it can be changed into a prime (64493220641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6005748 + ... + 6016476.

It is an arithmetic number, because the mean of its divisors is an integer number (1739225700).

Almost surely, 264493220648 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 64493220648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83482833600).

64493220648 is an abundant number, since it is smaller than the sum of its proper divisors (102472446552).

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

64493220648 is a wasteful number, since it uses less digits than its factorization.

64493220648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10931 (or 10854 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 64493220648 in words is "sixty-four billion, four hundred ninety-three million, two hundred twenty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 73 94 141 146 188 219 282 292 376 438 564 584 876 1128 1752 3431 5329 6862 10293 10658 10729 13724 15987 20586 21316 21458 27448 31974 32187 41172 42632 42916 63948 64374 82344 85832 127896 128748 250463 257496 500926 504263 751389 783217 1001852 1008526 1502778 1512789 1566434 2003704 2017052 2349651 3005556 3025578 3132868 4034104 4699302 6011112 6051156 6265736 9398604 12102312 18797208 36811199 57174841 73622398 110433597 114349682 147244796 171524523 220867194 228699364 294489592 343049046 441734388 457398728 686098092 883468776 1372196184 2687217527 5374435054 8061652581 10748870108 16123305162 21497740216 32246610324 64493220648