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248096389913 = 1726114073197
BaseRepresentation
bin1110011100001110110…
…0100111101100011001
3212201101021010102222222
43213003230213230121
513031100133434123
6305550210353425
723632026343061
oct3470354475431
9781337112888
10248096389913
1196242a42879
12400bab8b875
131a51a8930a8
14c017a883a1
1566c0b466c8
hex39c3b27b19

248096389913 has 12 divisors (see below), whose sum is σ = 267869250732. Its totient is φ = 229674558720.

The previous prime is 248096389907. The next prime is 248096389991. The reversal of 248096389913 is 319983690842.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2995153984 + 245101235929 = 54728^2 + 495077^2 .

It is not a de Polignac number, because 248096389913 - 24 = 248096389897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248096389993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7018970 + ... + 7054227.

It is an arithmetic number, because the mean of its divisors is an integer number (22322437561).

Almost surely, 2248096389913 is an apocalyptic number.

It is an amenable number.

248096389913 is a deficient number, since it is larger than the sum of its proper divisors (19772860819).

248096389913 is a wasteful number, since it uses less digits than its factorization.

248096389913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14073292 (or 14073275 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 62.

The spelling of 248096389913 in words is "two hundred forty-eight billion, ninety-six million, three hundred eighty-nine thousand, nine hundred thirteen".

Divisors: 1 17 61 289 1037 17629 14073197 239244349 858465017 4067153933 14593905289 248096389913