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10874066761 is a prime number
BaseRepresentation
bin10100010000010010…
…10001011101001001
31001001211110211022101
422020021101131021
5134232230114021
64555004553401
7533320020355
oct121011213511
931054424271
1010874066761
114680144338
122135852861
131043b03c3c
1475228c465
154399b5a91
hex288251749

10874066761 has 2 divisors, whose sum is σ = 10874066762. Its totient is φ = 10874066760.

The previous prime is 10874066747. The next prime is 10874066767. The reversal of 10874066761 is 16766047801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7478790400 + 3395276361 = 86480^2 + 58269^2 .

It is an emirp because it is prime and its reverse (16766047801) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10874066761 is a prime.

It is a super-2 number, since 2×108740667612 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10874066767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5437033380 + 5437033381.

It is an arithmetic number, because the mean of its divisors is an integer number (5437033381).

Almost surely, 210874066761 is an apocalyptic number.

It is an amenable number.

10874066761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10874066761 is an equidigital number, since it uses as much as digits as its factorization.

10874066761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 10874066761 in words is "ten billion, eight hundred seventy-four million, sixty-six thousand, seven hundred sixty-one".