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10420938889 = 312372892
BaseRepresentation
bin10011011010010001…
…01110100010001001
3222220020211112201121
421231020232202021
5132320230021024
64442020515241
7516145343014
oct115510564211
928806745647
1010420938889
114468391699
122029b4bb21
13ca0c8063a
1470c01837b
1540ed0a8e4
hex26d22e889

10420938889 has 27 divisors (see below), whose sum is σ = 11192576661. Its totient is φ = 9701968320.

The previous prime is 10420938887. The next prime is 10420938907. The reversal of 10420938889 is 98883902401.

The square root of 10420938889 is 102083.

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 157628025 + 10263310864 = 12555^2 + 101308^2 .

It is not a de Polignac number, because 10420938889 - 21 = 10420938887 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10420938887) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 117089157 + ... + 117089245.

Almost surely, 210420938889 is an apocalyptic number.

10420938889 is the 102083-rd square number.

10420938889 is the 51042-nd centered octagonal number.

It is an amenable number.

10420938889 is a deficient number, since it is larger than the sum of its proper divisors (771637772).

10420938889 is an frugal number, since it uses more digits than its factorization.

10420938889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 10420938889 in words is "ten billion, four hundred twenty million, nine hundred thirty-eight thousand, eight hundred eighty-nine".

Divisors: 1 31 37 89 961 1147 1369 2759 3293 7921 35557 42439 85529 102083 121841 245551 293077 1315609 3164573 3777071 7612081 9085387 10843849 117089201 281646997 336159319 10420938889