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64011744896 = 2711193235559
BaseRepresentation
bin111011100111011001…
…011011011010000000
320010020002101120011112
4323213121123122000
52022044001314041
645223453502452
74424161565651
oct734731333200
9203202346145
1064011744896
1125168a63410
12104a54a1a28
136061931738
1431535c3528
1519e9a47deb
hexee765b680

64011744896 has 64 divisors (see below), whose sum is σ = 139837838400. Its totient is φ = 28945367040.

The previous prime is 64011744877. The next prime is 64011744899. The reversal of 64011744896 is 69844711046.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (64011744899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153965 + ... + 389523.

It is an arithmetic number, because the mean of its divisors is an integer number (2184966225).

Almost surely, 264011744896 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 64011744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69918919200).

64011744896 is an abundant number, since it is smaller than the sum of its proper divisors (75826093504).

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

64011744896 is a wasteful number, since it uses less digits than its factorization.

64011744896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235777 (or 235765 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 64011744896 in words is "sixty-four billion, eleven million, seven hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 193 352 386 704 772 1408 1544 2123 3088 4246 6176 8492 12352 16984 24704 33968 67936 135872 235559 271744 471118 942236 1884472 2591149 3768944 5182298 7537888 10364596 15075776 20729192 30151552 41458384 45462887 82916768 90925774 165833536 181851548 331667072 363703096 500091757 727406192 1000183514 1454812384 2000367028 2909624768 4000734056 5819249536 8001468112 16002936224 32005872448 64011744896