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8123957689 = 17325212
BaseRepresentation
bin1111001000011100…
…11100000110111001
3202222011122210212211
413210032130012321
5113114213121224
63422044335121
7405214333561
oct74416340671
922864583784
108123957689
113499842721
1216a88444a1
139c6124573
14570d33da1
15328333894
hex1e439c1b9

8123957689 has 9 divisors (see below), whose sum is σ = 8186902189. Its totient is φ = 8061495520.

The previous prime is 8123957683. The next prime is 8123957693. The reversal of 8123957689 is 9867593218.

The square root of 8123957689 is 90133.

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

It can be written as a sum of positive squares in 4 ways, for example, as 536154025 + 7587803664 = 23155^2 + 87108^2 .

It is a de Polignac number, because none of the positive numbers 2k-8123957689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8123957683) 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 8 ways as a sum of consecutive naturals, for example, 15592749 + ... + 15593269.

Almost surely, 28123957689 is an apocalyptic number.

8123957689 is the 90133-rd square number.

8123957689 is the 45067-th centered octagonal number.

It is an amenable number.

8123957689 is a deficient number, since it is larger than the sum of its proper divisors (62944500).

8123957689 is an frugal number, since it uses more digits than its factorization.

8123957689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 694 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 58.

The cubic root of 8123957689 is about 2010.2769095324.

The spelling of 8123957689 in words is "eight billion, one hundred twenty-three million, nine hundred fifty-seven thousand, six hundred eighty-nine".

Divisors: 1 173 521 29929 90133 271441 15593009 46959293 8123957689