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2768498461 is a prime number
BaseRepresentation
bin1010010100000011…
…1110111100011101
321010221102021221001
42211000332330131
521132213422321
61134414310301
7125414564041
oct24500767435
97127367831
102768498461
1111a0821963
126531b8391
1335174a991
141c3984021
151130b5c91
hexa503ef1d

2768498461 has 2 divisors, whose sum is σ = 2768498462. Its totient is φ = 2768498460.

The previous prime is 2768498443. The next prime is 2768498479. The reversal of 2768498461 is 1648948672.

2768498461 = 372052 + 372062.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (2768498443) and next prime (2768498479).

It can be written as a sum of positive squares in only one way, i.e., 1384286436 + 1384212025 = 37206^2 + 37205^2 .

It is a cyclic number.

It is not a de Polignac number, because 2768498461 - 217 = 2768367389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2768498401) 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, 1384249230 + 1384249231.

It is an arithmetic number, because the mean of its divisors is an integer number (1384249231).

Almost surely, 22768498461 is an apocalyptic number.

2768498461 is the 37206-th centered square number.

It is an amenable number.

2768498461 is a deficient number, since it is larger than the sum of its proper divisors (1).

2768498461 is an equidigital number, since it uses as much as digits as its factorization.

2768498461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4644864, while the sum is 55.

The square root of 2768498461 is about 52616.5226996235. The cubic root of 2768498461 is about 1404.1540668328.

The spelling of 2768498461 in words is "two billion, seven hundred sixty-eight million, four hundred ninety-eight thousand, four hundred sixty-one".