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7967875381 is a prime number
BaseRepresentation
bin1110110101110110…
…00010000100110101
3202120021222000012121
413122323002010311
5112304234003011
63354351115541
7401310552244
oct73273020465
922507860177
107967875381
113419726784
121664512bb1
1399c9a607b
1455830495b
153197a1e71
hex1daec2135

7967875381 has 2 divisors, whose sum is σ = 7967875382. Its totient is φ = 7967875380.

The previous prime is 7967875379. The next prime is 7967875403. The reversal of 7967875381 is 1835787697.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7185274756 + 782600625 = 84766^2 + 27975^2 .

It is a cyclic number.

It is not a de Polignac number, because 7967875381 - 21 = 7967875379 is a prime.

It is a super-2 number, since 2×79678753812 (a number of 21 digits) contains 22 as substring.

Together with 7967875379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7967875351) 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, 3983937690 + 3983937691.

It is an arithmetic number, because the mean of its divisors is an integer number (3983937691).

Almost surely, 27967875381 is an apocalyptic number.

It is an amenable number.

7967875381 is a deficient number, since it is larger than the sum of its proper divisors (1).

7967875381 is an equidigital number, since it uses as much as digits as its factorization.

7967875381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17781120, while the sum is 61.

The square root of 7967875381 is about 89262.9563760914. The cubic root of 7967875381 is about 1997.3193570987.

The spelling of 7967875381 in words is "seven billion, nine hundred sixty-seven million, eight hundred seventy-five thousand, three hundred eighty-one".