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766461056465 = 51311791708561
BaseRepresentation
bin10110010011101001010…
…00111001010111010001
32201021100222200212201202
423021310220321113101
5100024203012301330
61344035104240545
7106242422325356
oct13116450712721
92637328625652
10766461056465
11276066315045
12104666310155
135737a661260
142914dd0262d
1514e0db67445
hexb274a395d1

766461056465 has 8 divisors (see below), whose sum is σ = 990503519208. Its totient is φ = 566002010880.

The previous prime is 766461056441. The next prime is 766461056507. The reversal of 766461056465 is 564650164667.

766461056465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 152543362624 + 613917693841 = 390568^2 + 783529^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-766461056465 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 766461056465.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5895854216 + ... + 5895854345.

It is an arithmetic number, because the mean of its divisors is an integer number (123812939901).

Almost surely, 2766461056465 is an apocalyptic number.

It is an amenable number.

766461056465 is a deficient number, since it is larger than the sum of its proper divisors (224042462743).

766461056465 is a wasteful number, since it uses less digits than its factorization.

766461056465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11791708579.

The product of its (nonzero) digits is 21772800, while the sum is 56.

The spelling of 766461056465 in words is "seven hundred sixty-six billion, four hundred sixty-one million, fifty-six thousand, four hundred sixty-five".

Divisors: 1 5 13 65 11791708561 58958542805 153292211293 766461056465