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10557361217 = 13262469593
BaseRepresentation
bin10011101010100010…
…01000110001000001
31000020202112111222102
421311101020301001
5133110141024332
64503332520145
7522423042524
oct116521106101
930222474872
1010557361217
11452839a817
122067780055
13cc3307400
147221aabbb
1541bca7062
hex275448c41

10557361217 has 6 divisors (see below), whose sum is σ = 11431935702. Its totient is φ = 9745256352.

The previous prime is 10557361193. The next prime is 10557361291. The reversal of 10557361217 is 71216375501.

It can be written as a sum of positive squares in 3 ways, for example, as 1194670096 + 9362691121 = 34564^2 + 96761^2 .

It is not a de Polignac number, because 10557361217 - 210 = 10557360193 is a prime.

It is a super-2 number, since 2×105573612172 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10557261217) 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 in 5 ways as a sum of consecutive naturals, for example, 31234628 + ... + 31234965.

It is an arithmetic number, because the mean of its divisors is an integer number (1905322617).

Almost surely, 210557361217 is an apocalyptic number.

It is an amenable number.

10557361217 is a deficient number, since it is larger than the sum of its proper divisors (874574485).

10557361217 is an equidigital number, since it uses as much as digits as its factorization.

10557361217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62469619 (or 62469606 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 38.

The spelling of 10557361217 in words is "ten billion, five hundred fifty-seven million, three hundred sixty-one thousand, two hundred seventeen".

Divisors: 1 13 169 62469593 812104709 10557361217