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768348047 is a prime number
BaseRepresentation
bin101101110011000…
…000111110001111
31222112210010101002
4231303000332033
53033144114142
6204124210515
725016564525
oct5563007617
91875703332
10768348047
11364792295
12195399a3b
13c325001c
147408a315
15476c3a32
hex2dcc0f8f

768348047 has 2 divisors, whose sum is σ = 768348048. Its totient is φ = 768348046.

The previous prime is 768348041. The next prime is 768348059. The reversal of 768348047 is 740843867.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 768348047 - 222 = 764153743 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 768347992 and 768348010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (768348041) 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, 384174023 + 384174024.

It is an arithmetic number, because the mean of its divisors is an integer number (384174024).

Almost surely, 2768348047 is an apocalyptic number.

768348047 is a deficient number, since it is larger than the sum of its proper divisors (1).

768348047 is an equidigital number, since it uses as much as digits as its factorization.

768348047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 903168, while the sum is 47.

The square root of 768348047 is about 27719.0917419745. The cubic root of 768348047 is about 915.9097114690.

The spelling of 768348047 in words is "seven hundred sixty-eight million, three hundred forty-eight thousand, forty-seven".