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249608000009 is a prime number
BaseRepresentation
bin1110100001110111001…
…0111101001000001001
3212212021121111012020002
43220131302331020021
513042144122000014
6310400205412345
724014342664434
oct3503562751011
9785247435202
10249608000009
1196949232915
124046126a0b5
131a6cbabba34
14c11c73081b
15675d6d5dde
hex3a1dcbd209

249608000009 has 2 divisors, whose sum is σ = 249608000010. Its totient is φ = 249608000008.

The previous prime is 249607999999. The next prime is 249608000051. The reversal of 249608000009 is 900000806942.

249608000009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190840543609 + 58767456400 = 436853^2 + 242420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-249608000009 is a prime.

It is not a weakly prime, because it can be changed into another prime (249608003009) 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, 124804000004 + 124804000005.

It is an arithmetic number, because the mean of its divisors is an integer number (124804000005).

Almost surely, 2249608000009 is an apocalyptic number.

It is an amenable number.

249608000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

249608000009 is an equidigital number, since it uses as much as digits as its factorization.

249608000009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 249608000009 in words is "two hundred forty-nine billion, six hundred eight million, nine", and thus it is an aban number.