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9006240841 = 1317291405249
BaseRepresentation
bin10000110001101000…
…00101010001001001
3212020122211102211121
420120310011101021
5121421044201331
64045402555241
7436116532633
oct103064052111
925218742747
109006240841
113901874054
1218b4208b21
13b06b56ac0
1461619ba53
1537aa10c11
hex218d05449

9006240841 has 16 divisors (see below), whose sum is σ = 10623690000. Its totient is φ = 7554613248.

The previous prime is 9006240839. The next prime is 9006240853. The reversal of 9006240841 is 1480426009.

It can be written as a sum of positive squares in 8 ways, for example, as 947408400 + 8058832441 = 30780^2 + 89771^2 .

It is not a de Polignac number, because 9006240841 - 21 = 9006240839 is a prime.

It is a super-2 number, since 2×90062408412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9006240797 and 9006240806.

It is not an unprimeable number, because it can be changed into a prime (9006240241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696216 + ... + 709033.

It is an arithmetic number, because the mean of its divisors is an integer number (663980625).

Almost surely, 29006240841 is an apocalyptic number.

It is an amenable number.

9006240841 is a deficient number, since it is larger than the sum of its proper divisors (1617449159).

9006240841 is a wasteful number, since it uses less digits than its factorization.

9006240841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405308.

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 9006240841 is about 94901.2162250832. The cubic root of 9006240841 is about 2080.5645072369.

The spelling of 9006240841 in words is "nine billion, six million, two hundred forty thousand, eight hundred forty-one".

Divisors: 1 13 17 29 221 377 493 6409 1405249 18268237 23889233 40752221 310560029 529778873 692787757 9006240841