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64930828896 = 2532647348461
BaseRepresentation
bin111100011110001011…
…011101001001100000
320012121010210212101200
4330132023131021200
52030434243011041
645455005001200
74456021640103
oct743613351140
9205533725350
1064930828896
112559a83a86a
1210701253200
13617a17a61b
1431dd6aa73a
151a505941b6
hexf1e2dd260

64930828896 has 72 divisors (see below), whose sum is σ = 184932964944. Its totient is φ = 21610095360.

The previous prime is 64930828861. The next prime is 64930828901. The reversal of 64930828896 is 69882803946.

64930828896 is a `hidden beast` number, since 6 + 49 + 308 + 288 + 9 + 6 = 666.

64930828896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×649308288962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12106 + ... + 360566.

It is an arithmetic number, because the mean of its divisors is an integer number (2568513402).

Almost surely, 264930828896 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 64930828896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92466482472).

64930828896 is an abundant number, since it is smaller than the sum of its proper divisors (120002136048).

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

64930828896 is a wasteful number, since it uses less digits than its factorization.

64930828896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349124 (or 349113 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 64930828896 in words is "sixty-four billion, nine hundred thirty million, eight hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 647 1294 1941 2588 3882 5176 5823 7764 10352 11646 15528 20704 23292 31056 46584 62112 93168 186336 348461 696922 1045383 1393844 2090766 2787688 3136149 4181532 5575376 6272298 8363064 11150752 12544596 16726128 25089192 33452256 50178384 100356768 225454267 450908534 676362801 901817068 1352725602 1803634136 2029088403 2705451204 3607268272 4058176806 5410902408 7214536544 8116353612 10821804816 16232707224 21643609632 32465414448 64930828896