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2145322049 = 13379294801
BaseRepresentation
bin111111111011111…
…0000010001000001
312112111210122121012
41333313300101001
513343200301144
6552513410305
7104106636143
oct17767602101
95474718535
102145322049
11a00a84232
124ba569995
132825c8c40
14164cc6c93
15c851ae9e
hex7fdf0441

2145322049 has 16 divisors (see below), whose sum is σ = 2375837520. Its totient is φ = 1924300800.

The previous prime is 2145322043. The next prime is 2145322057. The reversal of 2145322049 is 9402235412.

It can be written as a sum of positive squares in 8 ways, for example, as 133171600 + 2012150449 = 11540^2 + 44857^2 .

It is a cyclic number.

It is not a de Polignac number, because 2145322049 - 28 = 2145321793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2145322043) 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 15 ways as a sum of consecutive naturals, for example, 444449 + ... + 449249.

It is an arithmetic number, because the mean of its divisors is an integer number (148489845).

Almost surely, 22145322049 is an apocalyptic number.

It is an amenable number.

2145322049 is a deficient number, since it is larger than the sum of its proper divisors (230515471).

2145322049 is a wasteful number, since it uses less digits than its factorization.

2145322049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5780.

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2145322049 is about 46317.6213659553. The cubic root of 2145322049 is about 1289.7261299906.

The spelling of 2145322049 in words is "two billion, one hundred forty-five million, three hundred twenty-two thousand, forty-nine".

Divisors: 1 13 37 481 929 4801 12077 34373 62413 177637 446849 2309281 4460129 57981677 165024773 2145322049