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10556746217 is a prime number
BaseRepresentation
bin10011101010011101…
…10010100111101001
31000020201101021100122
421311032302213221
5133110011334332
64503311413025
7522414601523
oct116516624751
930221337318
1010556746217
11452800a756
122067524175
13cc31504c4
1472208aa13
1541bbd4c12
hex2753b29e9

10556746217 has 2 divisors, whose sum is σ = 10556746218. Its totient is φ = 10556746216.

The previous prime is 10556746181. The next prime is 10556746243. The reversal of 10556746217 is 71264765501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8240826841 + 2315919376 = 90779^2 + 48124^2 .

It is a cyclic number.

It is not a de Polignac number, because 10556746217 - 28 = 10556745961 is a prime.

It is a super-2 number, since 2×105567462172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10556746267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5278373108 + 5278373109.

It is an arithmetic number, because the mean of its divisors is an integer number (5278373109).

Almost surely, 210556746217 is an apocalyptic number.

It is an amenable number.

10556746217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10556746217 is an equidigital number, since it uses as much as digits as its factorization.

10556746217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 352800, while the sum is 44.

The spelling of 10556746217 in words is "ten billion, five hundred fifty-six million, seven hundred forty-six thousand, two hundred seventeen".