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1206164313 = 32409327673
BaseRepresentation
bin100011111100100…
…1001101101011001
310010001121111101100
41013321021231121
54432234224223
6315404142013
741614141014
oct10771115531
93101544340
101206164313
11569937112
12297b37909
13162b721c3
14b629637b
1570d57043
hex47e49b59

1206164313 has 12 divisors (see below), whose sum is σ = 1746502420. Its totient is φ = 802141056.

The previous prime is 1206164287. The next prime is 1206164341. The reversal of 1206164313 is 3134616021.

1206164313 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 1 + 643 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1038901824 + 167262489 = 32232^2 + 12933^2 .

It is not a de Polignac number, because 1206164313 - 26 = 1206164249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1206160313) 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, 160156 + ... + 167517.

Almost surely, 21206164313 is an apocalyptic number.

It is an amenable number.

1206164313 is a deficient number, since it is larger than the sum of its proper divisors (540338107).

1206164313 is a wasteful number, since it uses less digits than its factorization.

1206164313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328088 (or 328085 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1206164313 is about 34729.8763746720. The cubic root of 1206164313 is about 1064.4750623353.

The spelling of 1206164313 in words is "one billion, two hundred six million, one hundred sixty-four thousand, three hundred thirteen".

Divisors: 1 3 9 409 1227 3681 327673 983019 2949057 134018257 402054771 1206164313