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23282182769 is a prime number
BaseRepresentation
bin10101101011101110…
…011110101001110001
32020002120112102120112
4111223232132221301
5340140214322034
614410133551105
71452645200606
oct255356365161
966076472515
1023282182769
11996820456a
1246191a5495
13227068c211
1411ac1846ad
15913e9e7ce
hex56bb9ea71

23282182769 has 2 divisors, whose sum is σ = 23282182770. Its totient is φ = 23282182768.

The previous prime is 23282182739. The next prime is 23282182823. The reversal of 23282182769 is 96728128232.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14705200225 + 8576982544 = 121265^2 + 92612^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23282182769 is a prime.

It is a super-3 number, since 3×232821827693 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (23282182739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11641091384 + 11641091385.

It is an arithmetic number, because the mean of its divisors is an integer number (11641091385).

Almost surely, 223282182769 is an apocalyptic number.

It is an amenable number.

23282182769 is a deficient number, since it is larger than the sum of its proper divisors (1).

23282182769 is an equidigital number, since it uses as much as digits as its factorization.

23282182769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1161216, while the sum is 50.

The spelling of 23282182769 in words is "twenty-three billion, two hundred eighty-two million, one hundred eighty-two thousand, seven hundred sixty-nine".