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248247780929 is a prime number
BaseRepresentation
bin1110011100110010111…
…0001000011001000001
3212201202210222220102122
43213030232020121001
513031402412442204
6310013215254025
723635545215231
oct3471456103101
9781683886378
10248247780929
1196310445115
124014181a315
131a54305b185
14c02dc15cc1
1566ce09d0be
hex39ccb88641

248247780929 has 2 divisors, whose sum is σ = 248247780930. Its totient is φ = 248247780928.

The previous prime is 248247780839. The next prime is 248247780941. The reversal of 248247780929 is 929087742842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167954891329 + 80292889600 = 409823^2 + 283360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-248247780929 is a prime.

It is a super-2 number, since 2×2482477809292 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (248247780029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124123890464 + 124123890465.

It is an arithmetic number, because the mean of its divisors is an integer number (124123890465).

Almost surely, 2248247780929 is an apocalyptic number.

It is an amenable number.

248247780929 is a deficient number, since it is larger than the sum of its proper divisors (1).

248247780929 is an equidigital number, since it uses as much as digits as its factorization.

248247780929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32514048, while the sum is 62.

The spelling of 248247780929 in words is "two hundred forty-eight billion, two hundred forty-seven million, seven hundred eighty thousand, nine hundred twenty-nine".