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45642627073 is a prime number
BaseRepresentation
bin101010100000100000…
…110011100000000001
311100210220122200200101
4222200200303200001
51221434003031243
632545023522401
73204031633411
oct524040634001
9140726580611
1045642627073
11183a20892aa
128a19759401
1343c50b3254
1422cdb50641
1512c207b54d
hexaa0833801

45642627073 has 2 divisors, whose sum is σ = 45642627074. Its totient is φ = 45642627072.

The previous prime is 45642627047. The next prime is 45642627077. The reversal of 45642627073 is 37072624654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33465945969 + 12176681104 = 182937^2 + 110348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45642627073 is a prime.

It is a super-2 number, since 2×456426270732 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (45642627077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22821313536 + 22821313537.

It is an arithmetic number, because the mean of its divisors is an integer number (22821313537).

Almost surely, 245642627073 is an apocalyptic number.

It is an amenable number.

45642627073 is a deficient number, since it is larger than the sum of its proper divisors (1).

45642627073 is an equidigital number, since it uses as much as digits as its factorization.

45642627073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1693440, while the sum is 46.

The spelling of 45642627073 in words is "forty-five billion, six hundred forty-two million, six hundred twenty-seven thousand, seventy-three".