Search a number
-
+
64664246646 = 2339726945893
BaseRepresentation
bin111100001110010010…
…100001100101110110
320011220120012002022000
4330032102201211312
52024413021343041
645412323120130
74446304012266
oct741622414566
9204816162260
1064664246646
112547331065a
1210647b13046
136136b8034c
1431b61157a6
151a36e86bb6
hexf0e4a1976

64664246646 has 64 divisors (see below), whose sum is σ = 145722628800. Its totient is φ = 21252768768.

The previous prime is 64664246639. The next prime is 64664246651.

64664246646 is a `hidden beast` number, since 64 + 66 + 424 + 66 + 46 = 666.

64664246646 is nontrivially palindromic in base 10.

64664246646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64664246592 and 64664246601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1386076 + ... + 1431968.

It is an arithmetic number, because the mean of its divisors is an integer number (2276916075).

Almost surely, 264664246646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64664246646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72861314400).

64664246646 is an abundant number, since it is smaller than the sum of its proper divisors (81058382154).

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

64664246646 is a wasteful number, since it uses less digits than its factorization.

64664246646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46270 (or 46264 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 54.

The spelling of 64664246646 in words is "sixty-four billion, six hundred sixty-four million, two hundred forty-six thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 97 194 269 291 538 582 807 873 1614 1746 2421 2619 4842 5238 7263 14526 26093 45893 52186 78279 91786 137679 156558 234837 275358 413037 469674 704511 826074 1239111 1409022 2478222 4451621 8903242 12345217 13354863 24690434 26709726 37035651 40064589 74071302 80129178 111106953 120193767 222213906 240387534 333320859 666641718 1197486049 2394972098 3592458147 7184916294 10777374441 21554748882 32332123323 64664246646