Search a number
-
+
11513243250 = 232535938629
BaseRepresentation
bin10101011100011111…
…00010011001110010
31002201101012100121200
422232033202121302
5142034342241000
65142240432030
7555210644565
oct125617423162
932641170550
1011513243250
114978a20073
122293918616
131116368592
147b31124dc
15475b71500
hex2ae3e2672

11513243250 has 96 divisors (see below), whose sum is σ = 31187922480. Its totient is φ = 3064665600.

The previous prime is 11513243237. The next prime is 11513243257. The reversal of 11513243250 is 5234231511.

11513243250 is a `hidden beast` number, since 1 + 15 + 1 + 324 + 325 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1586508561 + 9926734689 = 39831^2 + 99633^2 .

It is not an unprimeable number, because it can be changed into a prime (11513243257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1329936 + ... + 1338564.

Almost surely, 211513243250 is an apocalyptic number.

11513243250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11513243250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15593961240).

11513243250 is an abundant number, since it is smaller than the sum of its proper divisors (19674679230).

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

11513243250 is a wasteful number, since it uses less digits than its factorization.

11513243250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9245 (or 9232 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 11513243250 its reverse (5234231511), we get a palindrome (16747474761).

The spelling of 11513243250 in words is "eleven billion, five hundred thirteen million, two hundred forty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 593 750 1125 1186 1779 2250 2965 3558 5337 5930 8629 8895 10674 14825 17258 17790 25887 26685 29650 43145 44475 51774 53370 74125 77661 86290 88950 129435 133425 148250 155322 215725 222375 258870 266850 388305 431450 444750 647175 667125 776610 1078625 1294350 1334250 1941525 2157250 3235875 3883050 5116997 6471750 9707625 10233994 15350991 19415250 25584985 30701982 46052973 51169970 76754955 92105946 127924925 153509910 230264865 255849850 383774775 460529730 639624625 767549550 1151324325 1279249250 1918873875 2302648650 3837747750 5756621625 11513243250