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37443411009 = 3253212172
BaseRepresentation
bin100010110111110011…
…010001110001000001
310120122111101100201100
4202313303101301001
51103141003123014
625111250125013
72463611512404
oct426763216101
9116574340640
1037443411009
1114974913984
12730b880769
1336b94cb904
141b52c29d3b
15e9232e009
hex8b7cd1c41

37443411009 has 27 divisors (see below), whose sum is σ = 55169984233. Its totient is φ = 24471163392.

The previous prime is 37443411001. The next prime is 37443411029. The reversal of 37443411009 is 90011434473.

The square root of 37443411009 is 193503.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 140351409 + 37303059600 = 11847^2 + 193140^2 .

It is not a de Polignac number, because 37443411009 - 23 = 37443411001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (37443411001) 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 26 ways as a sum of consecutive naturals, for example, 30766369 + ... + 30767585.

Almost surely, 237443411009 is an apocalyptic number.

37443411009 is the 193503-rd square number.

37443411009 is the 96752-nd centered octagonal number.

It is an amenable number.

37443411009 is a deficient number, since it is larger than the sum of its proper divisors (17726573224).

37443411009 is an frugal number, since it uses more digits than its factorization.

37443411009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 37443411009 by its sum of digits (36), we get a square (1347962796324 = 11610182).

The spelling of 37443411009 in words is "thirty-seven billion, four hundred forty-three million, four hundred eleven thousand, nine".

Divisors: 1 3 9 53 159 477 1217 2809 3651 8427 10953 25281 64501 193503 580509 1481089 3418553 4443267 10255659 13329801 30766977 78497717 235493151 706479453 4160379001 12481137003 37443411009