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76843968349 is a prime number
BaseRepresentation
bin100011110010001000…
…0011110011101011101
321100100101111001110211
41013210100132131131
52224334023441344
655145052532421
75360156645101
oct1074420363535
9240311431424
1076843968349
112a653464865
1212a86a81111
13732831c175
143a0d957901
151eeb3a8334
hex11e441e75d

76843968349 has 2 divisors, whose sum is σ = 76843968350. Its totient is φ = 76843968348.

The previous prime is 76843968283. The next prime is 76843968389. The reversal of 76843968349 is 94386934867.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66812944324 + 10031024025 = 258482^2 + 100155^2 .

It is an emirp because it is prime and its reverse (94386934867) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-76843968349 is a prime.

It is a super-3 number, since 3×768439683493 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (76843968389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38421984174 + 38421984175.

It is an arithmetic number, because the mean of its divisors is an integer number (38421984175).

Almost surely, 276843968349 is an apocalyptic number.

It is an amenable number.

76843968349 is a deficient number, since it is larger than the sum of its proper divisors (1).

76843968349 is an equidigital number, since it uses as much as digits as its factorization.

76843968349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 188116992, while the sum is 67.

The spelling of 76843968349 in words is "seventy-six billion, eight hundred forty-three million, nine hundred sixty-eight thousand, three hundred forty-nine".