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56460006465 = 3510137267331
BaseRepresentation
bin110100100101010001…
…110101010001000001
312101201210110111112120
4310211101311101001
51411112230201330
641534245514453
74036063064562
oct644521652101
9171653414476
1056460006465
1121a43224575
12ab38412a29
13542a229c65
142a38684169
151706a95c10
hexd25475441

56460006465 has 16 divisors (see below), whose sum is σ = 91230428736. Its totient is φ = 29813864000.

The previous prime is 56460006443. The next prime is 56460006469.

It is a happy number.

56460006465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56460006465 - 211 = 56460004417 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (56460006469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18632151 + ... + 18635180.

It is an arithmetic number, because the mean of its divisors is an integer number (5701901796).

Almost surely, 256460006465 is an apocalyptic number.

It is an amenable number.

56460006465 is a deficient number, since it is larger than the sum of its proper divisors (34770422271).

56460006465 is a wasteful number, since it uses less digits than its factorization.

56460006465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37267440.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 56460006465 in words is "fifty-six billion, four hundred sixty million, six thousand, four hundred sixty-five".

Divisors: 1 3 5 15 101 303 505 1515 37267331 111801993 186336655 559009965 3764000431 11292001293 18820002155 56460006465