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5116970089 = 721129292
BaseRepresentation
bin1001100001111111…
…01100010001101001
3111012121111000100201
410300333230101221
540434421020324
62203430232201
7240542346100
oct46077542151
914177430321
105116970089
11219643a400
12ba97b5661
1363716466a
1436782d037
151ee35e444
hex130fec469

5116970089 has 27 divisors (see below), whose sum is σ = 6549764151. Its totient is φ = 3982957440.

The previous prime is 5116970083. The next prime is 5116970099. The reversal of 5116970089 is 9800796115.

It is a happy number.

The square root of 5116970089 is 71533.

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., 98664489 + 5018305600 = 9933^2 + 70840^2 .

It is not a de Polignac number, because 5116970089 - 29 = 5116969577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5116970083) 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 26 ways as a sum of consecutive naturals, for example, 5507577 + ... + 5508505.

Almost surely, 25116970089 is an apocalyptic number.

5116970089 is the 71533-rd square number.

5116970089 is the 35767-th centered octagonal number.

It is an amenable number.

5116970089 is a deficient number, since it is larger than the sum of its proper divisors (1432794062).

5116970089 is an frugal number, since it uses more digits than its factorization.

5116970089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 46.

The cubic root of 5116970089 is about 1723.2076981999.

The spelling of 5116970089 in words is "five billion, one hundred sixteen million, nine hundred seventy thousand, eighty-nine".

Divisors: 1 7 11 49 77 121 539 847 929 5929 6503 10219 45521 71533 112409 500731 786863 863041 5508041 6041287 9493451 42289009 66454157 104427961 465179099 730995727 5116970089