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45385153829 is a prime number
BaseRepresentation
bin101010010001001010…
…100111110100100101
311100010222011200210022
4222101022213310211
51220422044410304
632503305204525
73164454304511
oct522112476445
9140128150708
1045385153829
111827a8108a4
128967490745
134383955112
1422a788b141
1512a966cebe
hexa912a7d25

45385153829 has 2 divisors, whose sum is σ = 45385153830. Its totient is φ = 45385153828.

The previous prime is 45385153817. The next prime is 45385153831. The reversal of 45385153829 is 92835158354.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43878937729 + 1506216100 = 209473^2 + 38810^2 .

It is a cyclic number.

It is not a de Polignac number, because 45385153829 - 24 = 45385153813 is a prime.

It is a super-2 number, since 2×453851538292 (a number of 22 digits) contains 22 as substring.

Together with 45385153831, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45385152829) 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, 22692576914 + 22692576915.

It is an arithmetic number, because the mean of its divisors is an integer number (22692576915).

Almost surely, 245385153829 is an apocalyptic number.

It is an amenable number.

45385153829 is a deficient number, since it is larger than the sum of its proper divisors (1).

45385153829 is an equidigital number, since it uses as much as digits as its factorization.

45385153829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184000, while the sum is 53.

The spelling of 45385153829 in words is "forty-five billion, three hundred eighty-five million, one hundred fifty-three thousand, eight hundred twenty-nine".