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64666656 = 25321511487
BaseRepresentation
bin1111011010101…
…1110000100000
311111200101222100
43312223300200
5113023313111
610230010400
71413441345
oct366536040
9144611870
1064666656
113355901a
12197a6a00
13105220c2
1488347cc
155a25756
hex3dabc20

64666656 has 72 divisors (see below), whose sum is σ = 185238144. Its totient is φ = 21398400.

The previous prime is 64666643. The next prime is 64666661. The reversal of 64666656 is 65666646.

64666656 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 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 11 ways as a sum of consecutive naturals, for example, 42745 + ... + 44231.

It is an arithmetic number, because the mean of its divisors is an integer number (2572752).

Almost surely, 264666656 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 64666656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92619072).

64666656 is an abundant number, since it is smaller than the sum of its proper divisors (120571488).

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

64666656 is a wasteful number, since it uses less digits than its factorization.

64666656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1643 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 64666656 is about 8041.5580579885. The cubic root of 64666656 is about 401.3840720046.

The spelling of 64666656 in words is "sixty-four million, six hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1487 1812 2416 2718 2974 3624 4461 4832 5436 5948 7248 8922 10872 11896 13383 14496 17844 21744 23792 26766 35688 43488 47584 53532 71376 107064 142752 214128 224537 428256 449074 673611 898148 1347222 1796296 2020833 2694444 3592592 4041666 5388888 7185184 8083332 10777776 16166664 21555552 32333328 64666656