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426461132367 = 32123049385087
BaseRepresentation
bin1100011010010110001…
…00000111011001001111
31111202202210212011121100
412031023010013121033
523441343022213432
6523525154034143
742545050546344
oct6151304073117
91452683764540
10426461132367
11154952211836
126a798b78953
13312a47a880a
14168d86127cb
15b15e9d907c
hex634b10764f

426461132367 has 12 divisors (see below), whose sum is σ = 616006019200. Its totient is φ = 284304372768.

The previous prime is 426461132333. The next prime is 426461132369. The reversal of 426461132367 is 763231164624.

426461132367 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 611 + 3 + 23 + 6 + 7 = 666.

It is not a de Polignac number, because 426461132367 - 218 = 426460870223 is a prime.

It is a super-3 number, since 3×4264611323673 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426461132369) 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 11 ways as a sum of consecutive naturals, for example, 914898 + ... + 1299984.

Almost surely, 2426461132367 is an apocalyptic number.

426461132367 is a deficient number, since it is larger than the sum of its proper divisors (189544886833).

426461132367 is a wasteful number, since it uses less digits than its factorization.

426461132367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508142 (or 508139 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 426461132367 in words is "four hundred twenty-six billion, four hundred sixty-one million, one hundred thirty-two thousand, three hundred sixty-seven".

Divisors: 1 3 9 123049 369147 385087 1107441 1155261 3465783 47384570263 142153710789 426461132367