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66957087973 is a prime number
BaseRepresentation
bin111110010110111101…
…000001010011100101
320101211100120111022011
4332112331001103211
52044112003303343
650432030434221
74560154600006
oct762675012345
9211740514264
1066957087973
112643a592246
1210b87962971
136410bb9ca9
14335283d1ad
151b1d3e229d
hexf96f414e5

66957087973 has 2 divisors, whose sum is σ = 66957087974. Its totient is φ = 66957087972.

The previous prime is 66957087947. The next prime is 66957088007. The reversal of 66957087973 is 37978075966.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47785085604 + 19172002369 = 218598^2 + 138463^2 .

It is a cyclic number.

It is not a de Polignac number, because 66957087973 - 221 = 66954990821 is a prime.

It is a super-2 number, since 2×669570879732 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66957087899 and 66957087908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66957087943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33478543986 + 33478543987.

It is an arithmetic number, because the mean of its divisors is an integer number (33478543987).

Almost surely, 266957087973 is an apocalyptic number.

It is an amenable number.

66957087973 is a deficient number, since it is larger than the sum of its proper divisors (1).

66957087973 is an equidigital number, since it uses as much as digits as its factorization.

66957087973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120022560, while the sum is 67.

The spelling of 66957087973 in words is "sixty-six billion, nine hundred fifty-seven million, eighty-seven thousand, nine hundred seventy-three".