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972747000833 is a prime number
BaseRepresentation
bin11100010011111000011…
…11010100110000000001
310102222211102002121211112
432021330033110300001
5111414141213011313
62022512424053105
7130164402036656
oct16117417246001
93388742077745
10972747000833
113455a3360293
12138637004195
137096406542a
143511cb87c2d
151a483da88a8
hexe27c3d4c01

972747000833 has 2 divisors, whose sum is σ = 972747000834. Its totient is φ = 972747000832.

The previous prime is 972747000791. The next prime is 972747000881. The reversal of 972747000833 is 338000747279.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 849361305664 + 123385695169 = 921608^2 + 351263^2 .

It is a cyclic number.

It is not a de Polignac number, because 972747000833 - 220 = 972745952257 is a prime.

It is not a weakly prime, because it can be changed into another prime (972747000233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486373500416 + 486373500417.

It is an arithmetic number, because the mean of its divisors is an integer number (486373500417).

Almost surely, 2972747000833 is an apocalyptic number.

It is an amenable number.

972747000833 is a deficient number, since it is larger than the sum of its proper divisors (1).

972747000833 is an equidigital number, since it uses as much as digits as its factorization.

972747000833 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1778112, while the sum is 50.

The spelling of 972747000833 in words is "nine hundred seventy-two billion, seven hundred forty-seven million, eight hundred thirty-three", and thus it is an aban number.