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248117759993 is a prime number
BaseRepresentation
bin1110011100010011111…
…0001000111111111001
3212201102202100011020102
43213010332020333321
513031121121304433
6305552252405145
723632406106365
oct3470476107771
9781382304212
10248117759993
11962540094a4
12401061767b5
131a522135ccc
14c01a84c2a5
1566c29684e8
hex39c4f88ff9

248117759993 has 2 divisors, whose sum is σ = 248117759994. Its totient is φ = 248117759992.

The previous prime is 248117759977. The next prime is 248117760047. The reversal of 248117759993 is 399957711842.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 236456567824 + 11661192169 = 486268^2 + 107987^2 .

It is a cyclic number.

It is not a de Polignac number, because 248117759993 - 24 = 248117759977 is a prime.

It is not a weakly prime, because it can be changed into another prime (248117759963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124058879996 + 124058879997.

It is an arithmetic number, because the mean of its divisors is an integer number (124058879997).

Almost surely, 2248117759993 is an apocalyptic number.

It is an amenable number.

248117759993 is a deficient number, since it is larger than the sum of its proper divisors (1).

248117759993 is an equidigital number, since it uses as much as digits as its factorization.

248117759993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34292160, while the sum is 65.

The spelling of 248117759993 in words is "two hundred forty-eight billion, one hundred seventeen million, seven hundred fifty-nine thousand, nine hundred ninety-three".