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1293616993 is a prime number
BaseRepresentation
bin100110100011011…
…0000011101100001
310100011011112220111
41031012300131201
510122131220433
6332210411321
744025364054
oct11506603541
93304145814
101293616993
11604238659
12301290b41
13178011856
14c3b3ca9b
157887ddcd
hex4d1b0761

1293616993 has 2 divisors, whose sum is σ = 1293616994. Its totient is φ = 1293616992.

The previous prime is 1293616981. The next prime is 1293616997. The reversal of 1293616993 is 3996163921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1282212864 + 11404129 = 35808^2 + 3377^2 .

It is an emirp because it is prime and its reverse (3996163921) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1293616993 - 213 = 1293608801 is a prime.

It is not a weakly prime, because it can be changed into another prime (1293616997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 646808496 + 646808497.

It is an arithmetic number, because the mean of its divisors is an integer number (646808497).

Almost surely, 21293616993 is an apocalyptic number.

It is an amenable number.

1293616993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1293616993 is an equidigital number, since it uses as much as digits as its factorization.

1293616993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 472392, while the sum is 49.

The square root of 1293616993 is about 35966.8874522108. The cubic root of 1293616993 is about 1089.6037032531.

It can be divided in two parts, 12936 and 16993, that added together give a square (29929 = 1732).

The spelling of 1293616993 in words is "one billion, two hundred ninety-three million, six hundred sixteen thousand, nine hundred ninety-three".