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3564449109 = 3213171819901
BaseRepresentation
bin1101010001110101…
…0010110101010101
3100012102010202221200
43110131102311111
524244444332414
61345410303113
7154221213624
oct32435226525
910172122850
103564449109
11156a047411
12835887a99
1344a6136b0
1425b5776bb
1515cddd109
hexd4752d55

3564449109 has 48 divisors (see below), whose sum is σ = 5903889264. Its totient is φ = 2052864000.

The previous prime is 3564449089. The next prime is 3564449117. The reversal of 3564449109 is 9019444653.

It can be written as a sum of positive squares in 8 ways, for example, as 32524209 + 3531924900 = 5703^2 + 59430^2 .

It is not a de Polignac number, because 3564449109 - 216 = 3564383573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3564449129) 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 47 ways as a sum of consecutive naturals, for example, 355059 + ... + 364959.

It is an arithmetic number, because the mean of its divisors is an integer number (122997693).

Almost surely, 23564449109 is an apocalyptic number.

3564449109 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3564449109 is a deficient number, since it is larger than the sum of its proper divisors (2339440155).

3564449109 is a wasteful number, since it uses less digits than its factorization.

3564449109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10118 (or 10115 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3564449109 is about 59703.0075373092. The cubic root of 3564449109 is about 1527.5571693383.

The spelling of 3564449109 in words is "three billion, five hundred sixty-four million, four hundred forty-nine thousand, one hundred nine".

Divisors: 1 3 9 13 17 39 51 117 153 181 221 543 663 1629 1989 2353 3077 7059 9231 9901 21177 27693 29703 40001 89109 120003 128713 168317 360009 386139 504951 1158417 1514853 1792081 2188121 5376243 6564363 16128729 19693089 23297053 30465377 69891159 91396131 209673477 274188393 396049901 1188149703 3564449109