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213786722349 = 32471792823497
BaseRepresentation
bin1100011100011010101…
…1101000000000101101
3202102211011102202010200
43013012223220000231
512000313400103344
6242113503224113
721305556104544
oct3070653500055
9672734382120
10213786722349
1182737038812
12355248a8039
13172106a5355
14a4c111b15b
1558639c9069
hex31c6ae802d

213786722349 has 24 divisors (see below), whose sum is σ = 317135295360. Its totient is φ = 138712711488.

The previous prime is 213786722339. The next prime is 213786722399. The reversal of 213786722349 is 943227687312.

It is a happy number.

213786722349 is a `hidden beast` number, since 2 + 1 + 378 + 6 + 7 + 223 + 49 = 666.

It is not a de Polignac number, because 213786722349 - 213 = 213786714157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213786722295 and 213786722304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213786722329) 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 23 ways as a sum of consecutive naturals, for example, 1336032 + ... + 1487465.

It is an arithmetic number, because the mean of its divisors is an integer number (13213970640).

Almost surely, 2213786722349 is an apocalyptic number.

It is an amenable number.

213786722349 is a deficient number, since it is larger than the sum of its proper divisors (103348573011).

213786722349 is a wasteful number, since it uses less digits than its factorization.

213786722349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823729 (or 2823726 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 213786722349 in words is "two hundred thirteen billion, seven hundred eighty-six million, seven hundred twenty-two thousand, three hundred forty-nine".

Divisors: 1 3 9 47 141 179 423 537 1611 8413 25239 75717 2823497 8470491 25411473 132704359 398113077 505405963 1194339231 1516217889 4548653667 23754080261 71262240783 213786722349