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248823782993 is a prime number
BaseRepresentation
bin1110011110111100001…
…1011001111001010001
3212210020221211211201102
43213233003121321101
513034042342023433
6310150313114145
723656041154442
oct3475703317121
9783227754642
10248823782993
11965865a1a85
12402826b8955
131a6054a39b6
14c0865132c9
15671492a4e8
hex39ef0d9e51

248823782993 has 2 divisors, whose sum is σ = 248823782994. Its totient is φ = 248823782992.

The previous prime is 248823782971. The next prime is 248823783083. The reversal of 248823782993 is 399287328842.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 248465362369 + 358420624 = 498463^2 + 18932^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-248823782993 is a prime.

It is a super-3 number, since 3×2488237829933 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (248823682993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124411891496 + 124411891497.

It is an arithmetic number, because the mean of its divisors is an integer number (124411891497).

Almost surely, 2248823782993 is an apocalyptic number.

It is an amenable number.

248823782993 is a deficient number, since it is larger than the sum of its proper divisors (1).

248823782993 is an equidigital number, since it uses as much as digits as its factorization.

248823782993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 83607552, while the sum is 65.

The spelling of 248823782993 in words is "two hundred forty-eight billion, eight hundred twenty-three million, seven hundred eighty-two thousand, nine hundred ninety-three".