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2738132413 is a prime number
BaseRepresentation
bin1010001100110100…
…1001010110111101
321001211021112112121
42203031021112331
521101430214123
61131411402541
7124565512222
oct24315112675
97054245477
102738132413
111185671455
12644bb3451
133483781c3
141bd91b949
151105b875d
hexa33495bd

2738132413 has 2 divisors, whose sum is σ = 2738132414. Its totient is φ = 2738132412.

The previous prime is 2738132363. The next prime is 2738132417. The reversal of 2738132413 is 3142318372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2552573529 + 185558884 = 50523^2 + 13622^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2738132413 is a prime.

It is a super-2 number, since 2×27381324132 = 14994738222242405138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2738132417) 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, 1369066206 + 1369066207.

It is an arithmetic number, because the mean of its divisors is an integer number (1369066207).

Almost surely, 22738132413 is an apocalyptic number.

It is an amenable number.

2738132413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2738132413 is an equidigital number, since it uses as much as digits as its factorization.

2738132413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 34.

The square root of 2738132413 is about 52327.1670645373. The cubic root of 2738132413 is about 1399.0013989351.

The spelling of 2738132413 in words is "two billion, seven hundred thirty-eight million, one hundred thirty-two thousand, four hundred thirteen".