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10160330516 = 2272373138977
BaseRepresentation
bin10010111011001101…
…00101011100010100
3222020002110021020122
421131212211130110
5131302021034031
64400111051112
7506532245600
oct113546453424
928202407218
1010160330516
114344272776
121b76810a98
13c5bc954bb
146c557a500
153e6ecd47b
hex25d9a5714

10160330516 has 36 divisors (see below), whose sum is σ = 20739131028. Its totient is φ = 4342722048.

The previous prime is 10160330501. The next prime is 10160330519. The reversal of 10160330516 is 61503306101.

10160330516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1866585616 + 8293744900 = 43204^2 + 91070^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10160330519) 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 11 ways as a sum of consecutive naturals, for example, 3620 + ... + 142596.

It is an arithmetic number, because the mean of its divisors is an integer number (576086973).

Almost surely, 210160330516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10160330516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10369565514).

10160330516 is an abundant number, since it is smaller than the sum of its proper divisors (10578800512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10160330516 is a wasteful number, since it uses less digits than its factorization.

10160330516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139368 (or 139359 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

Adding to 10160330516 its reverse (61503306101), we get a palindrome (71663636617).

The spelling of 10160330516 in words is "ten billion, one hundred sixty million, three hundred thirty thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 373 746 1492 2611 5222 10444 18277 36554 73108 138977 277954 555908 972839 1945678 3891356 6809873 13619746 27239492 51838421 103676842 207353684 362868947 725737894 1451475788 2540082629 5080165258 10160330516