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10626104889 = 32343612
BaseRepresentation
bin10011110010101110…
…10111111000111001
31000102112220001120100
421321113113320321
5133230240324024
64514230150013
7524216254431
oct117127277071
930375801510
1010626104889
114563182974
1220867b2309
13100462613a
1472b3832c1
15422d357c9
hex2795d7e39

10626104889 has 9 divisors (see below), whose sum is σ = 15349264879. Its totient is φ = 7083863760.

The previous prime is 10626104821. The next prime is 10626104891. The reversal of 10626104889 is 98840162601.

The square root of 10626104889 is 103083.

It is a perfect power (a square), and thus also a powerful number.

10626104889 is a `hidden beast` number, since 1 + 0 + 626 + 10 + 4 + 8 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8739071289 + 1887033600 = 93483^2 + 43440^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10626104889 - 213 = 10626096697 is a prime.

It is a super-2 number, since 2×106261048892 (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 (10626104899) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 292069 + ... + 326429.

Almost surely, 210626104889 is an apocalyptic number.

10626104889 is the 103083-rd square number.

10626104889 is the 51542-nd centered octagonal number.

It is an amenable number.

10626104889 is a deficient number, since it is larger than the sum of its proper divisors (4723159990).

10626104889 is an frugal number, since it uses more digits than its factorization.

10626104889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68728 (or 34364 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10626104889 in words is "ten billion, six hundred twenty-six million, one hundred four thousand, eight hundred eighty-nine".

Divisors: 1 3 9 34361 103083 309249 1180678321 3542034963 10626104889