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35073423841 = 137213672
BaseRepresentation
bin100000101010100010…
…011111100111100001
310100112022211112111211
4200222202133213201
51033312244030331
624040145110121
72351103120001
oct405242374741
9110468745454
1035073423841
11139690404a5
12696a028341
1333cc4c0a41
1419aa180001
15da42358b1
hex82a89f9e1

35073423841 has 9 divisors (see below), whose sum is σ = 35357167699. Its totient is φ = 34791943504.

The previous prime is 35073423823. The next prime is 35073423851. The reversal of 35073423841 is 14832437053.

The square root of 35073423841 is 187279.

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

It can be written as a sum of positive squares in only one way, i.e., 20602296225 + 14471127616 = 143535^2 + 120296^2 .

It is not a de Polignac number, because 35073423841 - 27 = 35073423713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35073423794 and 35073423803.

It is not an unprimeable number, because it can be changed into a prime (35073423811) 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 8 ways as a sum of consecutive naturals, for example, 25656540 + ... + 25657906.

Almost surely, 235073423841 is an apocalyptic number.

35073423841 is the 187279-th square number.

35073423841 is the 93640-th centered octagonal number.

It is an amenable number.

35073423841 is a deficient number, since it is larger than the sum of its proper divisors (283743858).

35073423841 is an frugal number, since it uses more digits than its factorization.

35073423841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 35073423841 in words is "thirty-five billion, seventy-three million, four hundred twenty-three thousand, eight hundred forty-one".

Divisors: 1 137 1367 18769 187279 1868689 25657223 256010393 35073423841