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2309584993 is a prime number
BaseRepresentation
bin1000100110101001…
…0111100001100001
312221221220001222221
42021222113201201
514212223204433
61021102231041
7111143101642
oct21152274141
95857801887
102309584993
11a85778431
12545585481
132aa64cb51
1417ca456c9
15d7b6672d
hex89a97861

2309584993 has 2 divisors, whose sum is σ = 2309584994. Its totient is φ = 2309584992.

The previous prime is 2309584967. The next prime is 2309585059. The reversal of 2309584993 is 3994859032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1488647889 + 820937104 = 38583^2 + 28652^2 .

It is a cyclic number.

It is not a de Polignac number, because 2309584993 - 25 = 2309584961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2309584993.

It is not a weakly prime, because it can be changed into another prime (2309584943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1154792496 + 1154792497.

It is an arithmetic number, because the mean of its divisors is an integer number (1154792497).

Almost surely, 22309584993 is an apocalyptic number.

It is an amenable number.

2309584993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2309584993 is an equidigital number, since it uses as much as digits as its factorization.

2309584993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2099520, while the sum is 52.

The square root of 2309584993 is about 48058.1417972023. The cubic root of 2309584993 is about 1321.8372398255.

The spelling of 2309584993 in words is "two billion, three hundred nine million, five hundred eighty-four thousand, nine hundred ninety-three".