Search a number
-
+
12625219044 = 22326123072
BaseRepresentation
bin10111100001000010…
…11000110111100100
31012120212120120122100
423300201120313210
5201324024002134
65444442132100
7624602406534
oct136041306744
935525516570
1012625219044
115399674a29
1225441b1030
131262850219
1487aa8b4c4
154dd5c0999
hex2f0858de4

12625219044 has 81 divisors (see below), whose sum is σ = 32551530921. Its totient is φ = 4125932640.

The previous prime is 12625219039. The next prime is 12625219051. The reversal of 12625219044 is 44091252621.

It is a happy number.

The square root of 12625219044 is 112362.

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

12625219044 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 521 + 90 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 410548644 + 12214670400 = 20262^2 + 110520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41124339 + ... + 41124645.

Almost surely, 212625219044 is an apocalyptic number.

12625219044 is the 112362-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12625219044

12625219044 is an abundant number, since it is smaller than the sum of its proper divisors (19926311877).

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

12625219044 is an equidigital number, since it uses as much as digits as its factorization.

12625219044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 12625219044 by its sum of digits (36), we get a square (454507885584 = 6741722).

12625219044 divided by its sum of digits (36) gives a square (350700529 = 187272).

The spelling of 12625219044 in words is "twelve billion, six hundred twenty-five million, two hundred nineteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 307 366 549 614 732 921 1098 1228 1842 2196 2763 3684 3721 5526 7442 11052 11163 14884 18727 22326 33489 37454 44652 56181 66978 74908 94249 112362 133956 168543 188498 224724 282747 337086 376996 565494 674172 848241 1130988 1142347 1696482 2284694 3392964 3427041 4569388 5749189 6854082 10281123 11498378 13708164 17247567 20562246 22996756 34495134 41124492 51742701 68990268 103485402 206970804 350700529 701401058 1052101587 1402802116 2104203174 3156304761 4208406348 6312609522 12625219044