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249379913369 is a prime number
BaseRepresentation
bin1110100001000000110…
…0110111111010011001
3212211200201022012011202
43220100030313322121
513041212224211434
6310321421003545
724005603201006
oct3502014677231
9784621265152
10249379913369
1196841506a64
12403b89b35b5
131a69377c622
14c0da31a8ad
15674867ea7e
hex3a10337e99

249379913369 has 2 divisors, whose sum is σ = 249379913370. Its totient is φ = 249379913368.

The previous prime is 249379913291. The next prime is 249379913401. The reversal of 249379913369 is 963319973942.

249379913369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 240041203600 + 9338709769 = 489940^2 + 96637^2 .

It is a cyclic number.

It is not a de Polignac number, because 249379913369 - 220 = 249378864793 is a prime.

It is a super-2 number, since 2×2493799133692 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (249379903369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124689956684 + 124689956685.

It is an arithmetic number, because the mean of its divisors is an integer number (124689956685).

Almost surely, 2249379913369 is an apocalyptic number.

It is an amenable number.

249379913369 is a deficient number, since it is larger than the sum of its proper divisors (1).

249379913369 is an equidigital number, since it uses as much as digits as its factorization.

249379913369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 59521392, while the sum is 65.

The spelling of 249379913369 in words is "two hundred forty-nine billion, three hundred seventy-nine million, nine hundred thirteen thousand, three hundred sixty-nine".