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248338320947 is a prime number
BaseRepresentation
bin1110011101001000011…
…1100000111000110011
3212202000010100210222122
43213102013200320303
513032044102232242
6310030212024455
723641024620263
oct3472207407063
9782003323878
10248338320947
1196357565182
124016800212b
131a558a3bb52
14c03bc637a3
1566d6ed4ad2
hex39d21e0e33

248338320947 has 2 divisors, whose sum is σ = 248338320948. Its totient is φ = 248338320946.

The previous prime is 248338320899. The next prime is 248338320977. The reversal of 248338320947 is 749023833842.

248338320947 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 is a cyclic number.

It is not a de Polignac number, because 248338320947 - 26 = 248338320883 is a prime.

It is a super-3 number, since 3×2483383209473 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (248338320977) 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, 124169160473 + 124169160474.

It is an arithmetic number, because the mean of its divisors is an integer number (124169160474).

Almost surely, 2248338320947 is an apocalyptic number.

248338320947 is a deficient number, since it is larger than the sum of its proper divisors (1).

248338320947 is an equidigital number, since it uses as much as digits as its factorization.

248338320947 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6967296, while the sum is 53.

The spelling of 248338320947 in words is "two hundred forty-eight billion, three hundred thirty-eight million, three hundred twenty thousand, nine hundred forty-seven".