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249984291749 is a prime number
BaseRepresentation
bin1110100011010000111…
…0011001001110100101
3212220020211112210110012
43220310032121032211
513043431434313444
6310501410540005
724026562264053
oct3506416311645
9786224483405
10249984291749
1197021685425
1240547297605
131a75ba4c07a
14c1566c31d3
156781764b9e
hex3a343993a5

249984291749 has 2 divisors, whose sum is σ = 249984291750. Its totient is φ = 249984291748.

The previous prime is 249984291701. The next prime is 249984291787. The reversal of 249984291749 is 947192489942.

249984291749 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., 185166696100 + 64817595649 = 430310^2 + 254593^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-249984291749 is a prime.

It is a super-2 number, since 2×2499842917492 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (249984291149) 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, 124992145874 + 124992145875.

It is an arithmetic number, because the mean of its divisors is an integer number (124992145875).

Almost surely, 2249984291749 is an apocalyptic number.

It is an amenable number.

249984291749 is a deficient number, since it is larger than the sum of its proper divisors (1).

249984291749 is an equidigital number, since it uses as much as digits as its factorization.

249984291749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 94058496, while the sum is 68.

The spelling of 249984291749 in words is "two hundred forty-nine billion, nine hundred eighty-four million, two hundred ninety-one thousand, seven hundred forty-nine".