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66957087061 is a prime number
BaseRepresentation
bin111110010110111101…
…000001000101010101
320101211100120110001101
4332112331001011111
52044112003241221
650432030430101
74560154564234
oct762675010525
9211740513041
1066957087061
112643a591597
1210b87962331
136410bb9757
14335283cb1b
151b1d3e1d91
hexf96f41155

66957087061 has 2 divisors, whose sum is σ = 66957087062. Its totient is φ = 66957087060.

The previous prime is 66957087049. The next prime is 66957087139. The reversal of 66957087061 is 16078075966.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46971892900 + 19985194161 = 216730^2 + 141369^2 .

It is a cyclic number.

It is not a de Polignac number, because 66957087061 - 29 = 66957086549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66957086993 and 66957087011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66957087361) 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, 33478543530 + 33478543531.

It is an arithmetic number, because the mean of its divisors is an integer number (33478543531).

Almost surely, 266957087061 is an apocalyptic number.

It is an amenable number.

66957087061 is a deficient number, since it is larger than the sum of its proper divisors (1).

66957087061 is an equidigital number, since it uses as much as digits as its factorization.

66957087061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3810240, while the sum is 55.

The spelling of 66957087061 in words is "sixty-six billion, nine hundred fifty-seven million, eighty-seven thousand, sixty-one".