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66112537 is a prime number
BaseRepresentation
bin1111110000110…
…0110000011001
311121101212100111
43330030300121
5113411100122
610321004321
71431642631
oct374146031
9147355314
1066112537
1134356367
121a1836a1
131090a25a
148acd6c1
155c0dd77
hex3f0cc19

66112537 has 2 divisors, whose sum is σ = 66112538. Its totient is φ = 66112536.

The previous prime is 66112531. The next prime is 66112561. The reversal of 66112537 is 73521166.

66112537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53231616 + 12880921 = 7296^2 + 3589^2 .

It is a cyclic number.

It is not a de Polignac number, because 66112537 - 211 = 66110489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66112499 and 66112508.

It is not a weakly prime, because it can be changed into another prime (66112531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33056268 + 33056269.

It is an arithmetic number, because the mean of its divisors is an integer number (33056269).

Almost surely, 266112537 is an apocalyptic number.

It is an amenable number.

66112537 is a deficient number, since it is larger than the sum of its proper divisors (1).

66112537 is an equidigital number, since it uses as much as digits as its factorization.

66112537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 31.

The square root of 66112537 is about 8130.9616282455. The cubic root of 66112537 is about 404.3535630647.

The spelling of 66112537 in words is "sixty-six million, one hundred twelve thousand, five hundred thirty-seven".