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10517616069 = 340110218563
BaseRepresentation
bin10011100101110011…
…00001010111000101
31000010222202020212220
421302321201113011
5133020002203234
64455353002553
7521431155462
oct116271412705
930128666786
1010517616069
114507a13694
1220563b3459
13cb7ccc87c
1471abc2669
15418555a49
hex272e615c5

10517616069 has 16 divisors (see below), whose sum is σ = 14073872064. Its totient is φ = 6986592000.

The previous prime is 10517616037. The next prime is 10517616073. The reversal of 10517616069 is 96061671501.

10517616069 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10517616069 - 25 = 10517616037 is a prime.

It is a super-2 number, since 2×105176160692 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10517616069.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10517616569) 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 in 15 ways as a sum of consecutive naturals, for example, 1223982 + ... + 1232544.

It is an arithmetic number, because the mean of its divisors is an integer number (879617004).

Almost surely, 210517616069 is an apocalyptic number.

It is an amenable number.

10517616069 is a deficient number, since it is larger than the sum of its proper divisors (3556255995).

10517616069 is a wasteful number, since it uses less digits than its factorization.

10517616069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9988.

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 10517616069 in words is "ten billion, five hundred seventeen million, six hundred sixteen thousand, sixty-nine".

Divisors: 1 3 401 1021 1203 3063 8563 25689 409421 1228263 3433763 8742823 10301289 26228469 3505872023 10517616069