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213600439749 = 38921136710331
BaseRepresentation
bin1100011011101110010…
…1000000110111000101
3202102100011220121110010
43012323211000313011
511444423203032444
6242043210420433
721301134531564
oct3067345006705
9672304817403
10213600439749
1182650974954
1235492431719
13171b0c11968
14a4a44a9bdb
15585247e2b9
hex31bb940dc5

213600439749 has 32 divisors (see below), whose sum is σ = 290182072320. Its totient is φ = 139737628800.

The previous prime is 213600439747. The next prime is 213600439763. The reversal of 213600439749 is 947934006312.

It is a happy number.

213600439749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213600439749 - 21 = 213600439747 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 213600439698 and 213600439707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213600439747) 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 31 ways as a sum of consecutive naturals, for example, 20670514 + ... + 20680844.

It is an arithmetic number, because the mean of its divisors is an integer number (9068189760).

Almost surely, 2213600439749 is an apocalyptic number.

It is an amenable number.

213600439749 is a deficient number, since it is larger than the sum of its proper divisors (76581632571).

213600439749 is a wasteful number, since it uses less digits than its factorization.

213600439749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11001.

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 213600439749 in words is "two hundred thirteen billion, six hundred million, four hundred thirty-nine thousand, seven hundred forty-nine".

Divisors: 1 3 89 211 267 367 633 1101 10331 18779 30993 32663 56337 77437 97989 232311 919459 2179841 2758377 3791477 6539523 6891893 11374431 20675679 194005849 337441453 582017547 800001647 1012324359 2400004941 71200146583 213600439749