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9059042041 = 72135972
BaseRepresentation
bin10000110111111011…
…00000001011111001
3212101100012000110121
420123331200023321
5122023103321131
64054530413241
7440330405200
oct103375401371
925340160417
109059042041
113929658405
121909a31221
13b14a8320a
1461d1c4237
15380490911
hex21bf602f9

9059042041 has 9 divisors (see below), whose sum is σ = 10538844399. Its totient is φ = 7764322104.

The previous prime is 9059041973. The next prime is 9059042063. The reversal of 9059042041 is 1402409509.

The square root of 9059042041 is 95179.

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

It can be written as a sum of positive squares in only one way, i.e., 813675625 + 8245366416 = 28525^2 + 90804^2 .

It is not a de Polignac number, because 9059042041 - 29 = 9059041529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9059041988 and 9059042006.

It is not an unprimeable number, because it can be changed into a prime (9059042141) 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, 659455 + ... + 673051.

It is an arithmetic number, because the mean of its divisors is an integer number (1170982711).

Almost surely, 29059042041 is an apocalyptic number.

9059042041 is the 95179-th square number.

9059042041 is the 47590-th centered octagonal number.

It is an amenable number.

9059042041 is a deficient number, since it is larger than the sum of its proper divisors (1479802358).

9059042041 is an frugal number, since it uses more digits than its factorization.

9059042041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27208 (or 13604 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The cubic root of 9059042041 is about 2084.6225197124.

The spelling of 9059042041 in words is "nine billion, fifty-nine million, forty-two thousand, forty-one".

Divisors: 1 7 49 13597 95179 666253 184878409 1294148863 9059042041