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2377984313 is a prime number
BaseRepresentation
bin1000110110111101…
…0010100100111001
320010201121010020002
42031233102210321
514332230444223
61031544242345
7112633350605
oct21557224471
96121533202
102377984313
1110103458a1
125644703b5
132bb87ac13
14187b6c505
15ddb77e28
hex8dbd2939

2377984313 has 2 divisors, whose sum is σ = 2377984314. Its totient is φ = 2377984312.

The previous prime is 2377984307. The next prime is 2377984331. The reversal of 2377984313 is 3134897732.

It is a happy number.

Together with next prime (2377984331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2345174329 + 32809984 = 48427^2 + 5728^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2377984313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2377984373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1188992156 + 1188992157.

It is an arithmetic number, because the mean of its divisors is an integer number (1188992157).

Almost surely, 22377984313 is an apocalyptic number.

It is an amenable number.

2377984313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2377984313 is an equidigital number, since it uses as much as digits as its factorization.

2377984313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 762048, while the sum is 47.

The square root of 2377984313 is about 48764.5805170105. The cubic root of 2377984313 is about 1334.7594217365.

The spelling of 2377984313 in words is "two billion, three hundred seventy-seven million, nine hundred eighty-four thousand, three hundred thirteen".