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768757540457 is a prime number
BaseRepresentation
bin10110010111111011000…
…01010010011001101001
32201111022000221100112102
423023331201102121221
5100043403412243312
61345055022023145
7106353346164104
oct13137541223151
92644260840472
10768757540457
112770346544a5
12104ba7417ab5
1357655374c1a
14292cacd773b
1514ee5591ec2
hexb2fd852669

768757540457 has 2 divisors, whose sum is σ = 768757540458. Its totient is φ = 768757540456.

The previous prime is 768757540429. The next prime is 768757540459. The reversal of 768757540457 is 754045757867.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 646240739881 + 122516800576 = 803891^2 + 350024^2 .

It is a cyclic number.

It is not a de Polignac number, because 768757540457 - 212 = 768757536361 is a prime.

Together with 768757540459, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 768757540393 and 768757540402.

It is not a weakly prime, because it can be changed into another prime (768757540459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384378770228 + 384378770229.

It is an arithmetic number, because the mean of its divisors is an integer number (384378770229).

Almost surely, 2768757540457 is an apocalyptic number.

It is an amenable number.

768757540457 is a deficient number, since it is larger than the sum of its proper divisors (1).

768757540457 is an equidigital number, since it uses as much as digits as its factorization.

768757540457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 230496000, while the sum is 65.

The spelling of 768757540457 in words is "seven hundred sixty-eight billion, seven hundred fifty-seven million, five hundred forty thousand, four hundred fifty-seven".