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78374141 is a prime number
BaseRepresentation
bin1001010101111…
…10010011111101
312110110211002222
410222332103331
5130030433031
611435455125
71641112016
oct452762375
9173424088
1078374141
114027071a
12222b74a5
1313311341
14a5a200d
156d31e7b
hex4abe4fd

78374141 has 2 divisors, whose sum is σ = 78374142. Its totient is φ = 78374140.

The previous prime is 78374111. The next prime is 78374143. The reversal of 78374141 is 14147387.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58828900 + 19545241 = 7670^2 + 4421^2 .

It is a cyclic number.

It is not a de Polignac number, because 78374141 - 218 = 78111997 is a prime.

It is a super-2 number, since 2×783741412 = 12285011954975762, which contains 22 as substring.

Together with 78374143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (78374143) 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, 39187070 + 39187071.

It is an arithmetic number, because the mean of its divisors is an integer number (39187071).

Almost surely, 278374141 is an apocalyptic number.

It is an amenable number.

78374141 is a deficient number, since it is larger than the sum of its proper divisors (1).

78374141 is an equidigital number, since it uses as much as digits as its factorization.

78374141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18816, while the sum is 35.

The square root of 78374141 is about 8852.9170898637. The cubic root of 78374141 is about 427.9479312586.

The spelling of 78374141 in words is "seventy-eight million, three hundred seventy-four thousand, one hundred forty-one".