Search a number
-
+
12257589796 = 2219722812
BaseRepresentation
bin10110110101001101…
…11111101000100100
31011122020211002010021
423122212333220210
5200100420333141
65344150404524
7612516536254
oct133246775044
934566732107
1012257589796
1152200a9701
122461060744
131204633a1a
14843d11964
154bb1a36d1
hex2da9bfa24

12257589796 has 27 divisors (see below), whose sum is σ = 21637221907. Its totient is φ = 6075984320.

The previous prime is 12257589779. The next prime is 12257589823. The reversal of 12257589796 is 69798575221.

The square root of 12257589796 is 110714.

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 6582076900 + 5675512896 = 81130^2 + 75336^2 .

It is a Duffinian number.

Its product of digits (19051200) is a multiple of the sum of its prime divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43621176 + ... + 43621456.

Almost surely, 212257589796 is an apocalyptic number.

12257589796 is the 110714-th square number.

It is an amenable number.

12257589796 is a deficient number, since it is larger than the sum of its proper divisors (9379632111).

12257589796 is an frugal number, since it uses more digits than its factorization.

12257589796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 480 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 61.

The spelling of 12257589796 in words is "twelve billion, two hundred fifty-seven million, five hundred eighty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 4 197 281 394 562 788 1124 38809 55357 77618 78961 110714 155236 157922 221428 315844 10905329 15555317 21810658 31110634 43621316 62221268 3064397449 6128794898 12257589796