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56460406465 = 539233287821
BaseRepresentation
bin110100100101010011…
…010110111011000001
312101201211012211020101
4310211103112323001
51411112331001330
641534302242401
74036066352011
oct644523267301
9171654184211
1056460406465
1121a43478051
12ab38586401
13542a33a048
142a38749c41
151706b244ca
hexd254d6ec1

56460406465 has 8 divisors (see below), whose sum is σ = 67754450088. Its totient is φ = 45167016960.

The previous prime is 56460406367. The next prime is 56460406493.

56460406465 is nontrivially palindromic in base 10.

56460406465 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 2549139121 + 53911267344 = 50489^2 + 232188^2 .

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

It is not a de Polignac number, because 56460406465 - 213 = 56460398273 is a prime.

It is a Duffinian number.

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, 52255 + ... + 340075.

It is an arithmetic number, because the mean of its divisors is an integer number (8469306261).

Almost surely, 256460406465 is an apocalyptic number.

It is an amenable number.

56460406465 is a deficient number, since it is larger than the sum of its proper divisors (11294043623).

56460406465 is a wasteful number, since it uses less digits than its factorization.

56460406465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327059.

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 56460406465 in words is "fifty-six billion, four hundred sixty million, four hundred six thousand, four hundred sixty-five".

Divisors: 1 5 39233 196165 287821 1439105 11292081293 56460406465