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248653821457 is a prime number
BaseRepresentation
bin1110011110010011101…
…1000011011000010001
3212202211010000220022201
43213210323003120101
513033220334241312
6310121402203201
723651605415656
oct3474473033021
9782733026281
10248653821457
11964a96663a8
12402357b3501
131a5a9206042
14c06bb0dc2d
156704a56557
hex39e4ec3611

248653821457 has 2 divisors, whose sum is σ = 248653821458. Its totient is φ = 248653821456.

The previous prime is 248653821401. The next prime is 248653821497. The reversal of 248653821457 is 754128356842.

It is a happy number.

248653821457 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., 172292236561 + 76361584896 = 415081^2 + 276336^2 .

It is a cyclic number.

It is not a de Polignac number, because 248653821457 - 219 = 248653297169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 248653821398 and 248653821407.

It is not a weakly prime, because it can be changed into another prime (248653821497) 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, 124326910728 + 124326910729.

It is an arithmetic number, because the mean of its divisors is an integer number (124326910729).

Almost surely, 2248653821457 is an apocalyptic number.

It is an amenable number.

248653821457 is a deficient number, since it is larger than the sum of its proper divisors (1).

248653821457 is an equidigital number, since it uses as much as digits as its factorization.

248653821457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12902400, while the sum is 55.

The spelling of 248653821457 in words is "two hundred forty-eight billion, six hundred fifty-three million, eight hundred twenty-one thousand, four hundred fifty-seven".