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784412408349 = 32611428802201
BaseRepresentation
bin10110110101000101001…
…11110111101000011101
32202222201001100001002100
423122202213313220131
5100322434034031344
61400204252115313
7110446320313263
oct13324247675035
92688631301070
10784412408349
1128273839a449
12108036165b39
1358c7b78a86b
1429d740a8433
151560eb11569
hexb6a29f7a1d

784412408349 has 12 divisors (see below), whose sum is σ = 1151614574812. Its totient is φ = 514368792000.

The previous prime is 784412408321. The next prime is 784412408359. The reversal of 784412408349 is 943804214487.

784412408349 is a `hidden beast` number, since 78 + 4 + 412 + 40 + 83 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40273265124 + 744139143225 = 200682^2 + 862635^2 .

It is not a de Polignac number, because 784412408349 - 28 = 784412408093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 784412408295 and 784412408304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (784412408359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 714400552 + ... + 714401649.

Almost surely, 2784412408349 is an apocalyptic number.

It is an amenable number.

784412408349 is a deficient number, since it is larger than the sum of its proper divisors (367202166463).

784412408349 is a wasteful number, since it uses less digits than its factorization.

784412408349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428802268 (or 1428802265 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 784412408349 in words is "seven hundred eighty-four billion, four hundred twelve million, four hundred eight thousand, three hundred forty-nine".

Divisors: 1 3 9 61 183 549 1428802201 4286406603 12859219809 87156934261 261470802783 784412408349