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248088888193 is a prime number
BaseRepresentation
bin1110011100001101000…
…0000000001110000001
3212201100202000022120111
43213003100000032001
513031041223410233
6305545341511321
723631605520136
oct3470320001601
9781322008514
10248088888193
1196239789703
12400b8572541
131a5191676c3
14c016a9458d
1566c0163acd
hex39c3400381

248088888193 has 2 divisors, whose sum is σ = 248088888194. Its totient is φ = 248088888192.

The previous prime is 248088888181. The next prime is 248088888263. The reversal of 248088888193 is 391888880842.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141066345744 + 107022542449 = 375588^2 + 327143^2 .

It is a cyclic number.

It is not a de Polignac number, because 248088888193 - 29 = 248088887681 is a prime.

It is not a weakly prime, because it can be changed into another prime (248088888143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124044444096 + 124044444097.

It is an arithmetic number, because the mean of its divisors is an integer number (124044444097).

Almost surely, 2248088888193 is an apocalyptic number.

It is an amenable number.

248088888193 is a deficient number, since it is larger than the sum of its proper divisors (1).

248088888193 is an equidigital number, since it uses as much as digits as its factorization.

248088888193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56623104, while the sum is 67.

The spelling of 248088888193 in words is "two hundred forty-eight billion, eighty-eight million, eight hundred eighty-eight thousand, one hundred ninety-three".