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461345013 = 32596114243
BaseRepresentation
bin11011011111111…
…001000011110101
31012011002202101100
4123133321003311
51421101020023
6113440120313
714301240123
oct3337710365
91164082340
10461345013
11217465378
1210a606099
137476c81c
14453b2913
152a77ec43
hex1b7f90f5

461345013 has 24 divisors (see below), whose sum is σ = 688839840. Its totient is φ = 297372960.

The previous prime is 461344993. The next prime is 461345107. The reversal of 461345013 is 310543164.

461345013 is a `hidden beast` number, since 4 + 613 + 45 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 461345013 - 29 = 461344501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461345413) 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 23 ways as a sum of consecutive naturals, for example, 25270 + ... + 39512.

It is an arithmetic number, because the mean of its divisors is an integer number (28701660).

Almost surely, 2461345013 is an apocalyptic number.

It is an amenable number.

461345013 is a deficient number, since it is larger than the sum of its proper divisors (227494827).

461345013 is a wasteful number, since it uses less digits than its factorization.

461345013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14369 (or 14366 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 461345013 is about 21478.9434796035. The cubic root of 461345013 is about 772.6959040650.

Adding to 461345013 its reverse (310543164), we get a palindrome (771888177).

The spelling of 461345013 in words is "four hundred sixty-one million, three hundred forty-five thousand, thirteen".

Divisors: 1 3 9 59 61 177 183 531 549 3599 10797 14243 32391 42729 128187 840337 868823 2521011 2606469 7563033 7819407 51260557 153781671 461345013