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972007127893 is a prime number
BaseRepresentation
bin11100010010100000010…
…00111011101101010101
310102220220211220011222001
432021100020323231111
5111411132311043033
62022311154035301
7130140146160004
oct16112010735525
93386824804861
10972007127893
1134525375784a
1213846b278b31
13708769a52a9
143508c7d0c3b
151a43de5be7d
hexe25023bb55

972007127893 has 2 divisors, whose sum is σ = 972007127894. Its totient is φ = 972007127892.

The previous prime is 972007127873. The next prime is 972007128067. The reversal of 972007127893 is 398721700279.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 887859561169 + 84147566724 = 942263^2 + 290082^2 .

It is a cyclic number.

It is not a de Polignac number, because 972007127893 - 29 = 972007127381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (972007127873) 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, 486003563946 + 486003563947.

It is an arithmetic number, because the mean of its divisors is an integer number (486003563947).

Almost surely, 2972007127893 is an apocalyptic number.

It is an amenable number.

972007127893 is a deficient number, since it is larger than the sum of its proper divisors (1).

972007127893 is an equidigital number, since it uses as much as digits as its factorization.

972007127893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2667168, while the sum is 55.

The spelling of 972007127893 in words is "nine hundred seventy-two billion, seven million, one hundred twenty-seven thousand, eight hundred ninety-three".