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2148338269 = 711139200723
BaseRepresentation
bin1000000000001101…
…0000101001011101
312112201110220002001
42000003100221131
513344433311034
6553102202301
7104144400610
oct20003205135
95481426061
102148338269
11a02754380
124bb583391
13283113a9c
14165470177
15c8914a14
hex800d0a5d

2148338269 has 16 divisors (see below), whose sum is σ = 2697730560. Its totient is φ = 1661978160.

The previous prime is 2148338261. The next prime is 2148338279. The reversal of 2148338269 is 9628338412.

It is a cyclic number.

It is not a de Polignac number, because 2148338269 - 23 = 2148338261 is a prime.

It is a super-2 number, since 2×21483382692 = 9230714636099832722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148338261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89659 + ... + 111064.

It is an arithmetic number, because the mean of its divisors is an integer number (168608160).

Almost surely, 22148338269 is an apocalyptic number.

It is an amenable number.

2148338269 is a deficient number, since it is larger than the sum of its proper divisors (549392291).

2148338269 is a wasteful number, since it uses less digits than its factorization.

2148338269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200880.

The product of its digits is 497664, while the sum is 46.

The square root of 2148338269 is about 46350.1701075627. The cubic root of 2148338269 is about 1290.3302779902.

The spelling of 2148338269 in words is "two billion, one hundred forty-eight million, three hundred thirty-eight thousand, two hundred sixty-nine".

Divisors: 1 7 11 77 139 973 1529 10703 200723 1405061 2207953 15455671 27900497 195303479 306905467 2148338269