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10669558601 = 13732233661
BaseRepresentation
bin10011110111111010…
…01000101101001001
31000112120122201212002
421323331020231021
5133322401333401
64522421400345
7525254515562
oct117375105511
930476581762
1010669558601
114585762329
1220992690b5
13101062b9b0
14733055169
15426a6aa6b
hex27bf48b49

10669558601 has 24 divisors (see below), whose sum is σ = 11717550936. Its totient is φ = 9657584640.

The previous prime is 10669558531. The next prime is 10669558633. The reversal of 10669558601 is 10685596601.

It can be written as a sum of positive squares in 12 ways, for example, as 2652147001 + 8017411600 = 51499^2 + 89540^2 .

It is a de Polignac number, because none of the positive numbers 2k-10669558601 is a prime.

It is a super-2 number, since 2×106695586012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10669558651) 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 in 23 ways as a sum of consecutive naturals, for example, 16141211 + ... + 16141871.

It is an arithmetic number, because the mean of its divisors is an integer number (488231289).

Almost surely, 210669558601 is an apocalyptic number.

It is an amenable number.

10669558601 is a deficient number, since it is larger than the sum of its proper divisors (1047992335).

10669558601 is an equidigital number, since it uses as much as digits as its factorization.

10669558601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 47.

The spelling of 10669558601 in words is "ten billion, six hundred sixty-nine million, five hundred fifty-eight thousand, six hundred one".

Divisors: 1 13 73 233 661 949 3029 5329 8593 17009 48253 69277 154013 221117 627289 1241657 2002169 3522469 11242949 16141541 45792097 146158337 820735277 10669558601