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768402181 is a prime number
BaseRepresentation
bin101101110011001…
…110001100000101
31222112212212122001
4231303032030011
53033202332211
6204125305301
725020211411
oct5563161405
91875785561
10768402181
11364819a28
12195405231
13c326b861
14740a1d41
15476d4ac1
hex2dcce305

768402181 has 2 divisors, whose sum is σ = 768402182. Its totient is φ = 768402180.

The previous prime is 768402139. The next prime is 768402209. The reversal of 768402181 is 181204867.

768402181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 571449025 + 196953156 = 23905^2 + 14034^2 .

It is a cyclic number.

It is not a de Polignac number, because 768402181 - 219 = 767877893 is a prime.

It is a super-2 number, since 2×7684021812 = 1180883823531113522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 768402181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (768402121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384201090 + 384201091.

It is an arithmetic number, because the mean of its divisors is an integer number (384201091).

Almost surely, 2768402181 is an apocalyptic number.

It is an amenable number.

768402181 is a deficient number, since it is larger than the sum of its proper divisors (1).

768402181 is an equidigital number, since it uses as much as digits as its factorization.

768402181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 768402181 is about 27720.0681997718. The cubic root of 768402181 is about 915.9312211187.

The spelling of 768402181 in words is "seven hundred sixty-eight million, four hundred two thousand, one hundred eighty-one".