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2927824313 is a prime number
BaseRepresentation
bin1010111010000011…
…0000110110111001
321120001012212220112
42232200300312321
521444010334223
61202305234105
7132361044641
oct25640606671
97501185815
102927824313
111272753817
12698632935
1337876362b
141dabb9521
15122088778
hexae830db9

2927824313 has 2 divisors, whose sum is σ = 2927824314. Its totient is φ = 2927824312.

The previous prime is 2927824297. The next prime is 2927824321. The reversal of 2927824313 is 3134287292.

2927824313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2793333904 + 134490409 = 52852^2 + 11597^2 .

It is a cyclic number.

It is not a de Polignac number, because 2927824313 - 24 = 2927824297 is a prime.

It is not a weakly prime, because it can be changed into another prime (2927824343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1463912156 + 1463912157.

It is an arithmetic number, because the mean of its divisors is an integer number (1463912157).

Almost surely, 22927824313 is an apocalyptic number.

It is an amenable number.

2927824313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2927824313 is an equidigital number, since it uses as much as digits as its factorization.

2927824313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 145152, while the sum is 41.

The square root of 2927824313 is about 54109.3736149292. The cubic root of 2927824313 is about 1430.5894049354.

The spelling of 2927824313 in words is "two billion, nine hundred twenty-seven million, eight hundred twenty-four thousand, three hundred thirteen".