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2005135443 = 32397561191
BaseRepresentation
bin111011110000011…
…1111000001010011
312011202000102201200
41313200333001103
513101303313233
6530545002243
7100455240633
oct16740770123
95152012650
102005135443
11939934a33
1247b623383
1325c55499c
141504346c3
15bb079313
hex7783f053

2005135443 has 12 divisors (see below), whose sum is σ = 2903607408. Its totient is φ = 1333387440.

The previous prime is 2005135439. The next prime is 2005135471. The reversal of 2005135443 is 3445315002.

2005135443 is a `hidden beast` number, since 200 + 5 + 13 + 5 + 443 = 666.

It is not a de Polignac number, because 2005135443 - 22 = 2005135439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2005135843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277023 + ... + 284168.

It is an arithmetic number, because the mean of its divisors is an integer number (241967284).

Almost surely, 22005135443 is an apocalyptic number.

2005135443 is a deficient number, since it is larger than the sum of its proper divisors (898471965).

2005135443 is a wasteful number, since it uses less digits than its factorization.

2005135443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561594 (or 561591 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2005135443 is about 44778.7387383790. The cubic root of 2005135443 is about 1260.9985036760.

The spelling of 2005135443 in words is "two billion, five million, one hundred thirty-five thousand, four hundred forty-three".

Divisors: 1 3 9 397 1191 3573 561191 1683573 5050719 222792827 668378481 2005135443