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972000000000079 is a prime number
BaseRepresentation
bin1101110100000001110110001…
…0101110001100000001001111
311201110120021220020022101102221
43131000131202232030001033
52004400222000000000304
613323134345141200211
7411510453056151511
oct33500354256140117
94643507806271387
10972000000000079
11261788981015436
1291024141400067
133294928c17c83b
141320509ddb9bb1
157758e3d500054
hex3740762b8c04f

972000000000079 has 2 divisors, whose sum is σ = 972000000000080. Its totient is φ = 972000000000078.

The previous prime is 971999999999999. The next prime is 972000000000143. The reversal of 972000000000079 is 970000000000279.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 972000000000079 - 225 = 971999966445647 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 971999999999963 and 972000000000053.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (972000000010079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486000000000039 + 486000000000040.

It is an arithmetic number, because the mean of its divisors is an integer number (486000000000040).

Almost surely, 2972000000000079 is an apocalyptic number.

972000000000079 is a deficient number, since it is larger than the sum of its proper divisors (1).

972000000000079 is an equidigital number, since it uses as much as digits as its factorization.

972000000000079 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938, while the sum is 34.

The spelling of 972000000000079 in words is "nine hundred seventy-two trillion, seventy-nine", and thus it is an aban number.