Search a number
-
+
6122593009 = 1344632
BaseRepresentation
bin1011011001110111…
…10101101011110001
3120210200201221200001
411230323311223301
5100014340434014
62451312230001
7304503116251
oct55473655361
916720657601
106122593009
112662053825
12122a53b301
137675c0000
14421201961
1525c7a1974
hex16cef5af1

6122593009 has 15 divisors (see below), whose sum is σ = 6647147853. Its totient is φ = 5639417784.

The previous prime is 6122592991. The next prime is 6122593067. The reversal of 6122593009 is 9003952216.

The square root of 6122593009 is 78247.

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

It can be written as a sum of positive squares in 2 ways, for example, as 3035679409 + 3086913600 = 55097^2 + 55560^2 .

It is not a de Polignac number, because 6122593009 - 217 = 6122461937 is a prime.

It is a super-2 number, since 2×61225930092 = 74972290307711348162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6122593409) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13223512 + ... + 13223974.

Almost surely, 26122593009 is an apocalyptic number.

6122593009 is the 78247-th square number.

6122593009 is the 39124-th centered octagonal number.

It is an amenable number.

6122593009 is a deficient number, since it is larger than the sum of its proper divisors (524554844).

6122593009 is an frugal number, since it uses more digits than its factorization.

6122593009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The cubic root of 6122593009 is about 1829.4131524282.

The spelling of 6122593009 in words is "six billion, one hundred twenty-two million, five hundred ninety-three thousand, nine".

Divisors: 1 13 169 463 2197 6019 28561 78247 214369 1017211 2786797 13223743 36228361 470968693 6122593009