Search a number
-
+
11052115350 = 2352319112609
BaseRepresentation
bin10100100101100000…
…11110010110010110
31001112020111122001120
422102300132112112
5140113320142400
65024405104410
7540611300433
oct122260362626
931466448046
1011052115350
1147616a3931
1221853b8106
131071973833
1476bb98b8a
1544a435ca0
hex292c1e596

11052115350 has 96 divisors (see below), whose sum is σ = 28335329280. Its totient is φ = 2847936000.

The previous prime is 11052115331. The next prime is 11052115357. The reversal of 11052115350 is 5351125011.

It is a self number, because there is not a number n which added to its sum of digits gives 11052115350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11052115357) 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, 4234846 + ... + 4237454.

It is an arithmetic number, because the mean of its divisors is an integer number (295159680).

Almost surely, 211052115350 is an apocalyptic number.

11052115350 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 11052115350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14167664640).

11052115350 is an abundant number, since it is smaller than the sum of its proper divisors (17283213930).

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

11052115350 is a wasteful number, since it uses less digits than its factorization.

11052115350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 11052115350 in words is "eleven billion, fifty-two million, one hundred fifteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 775 911 930 1550 1822 2325 2609 2733 4555 4650 5218 5466 7827 9110 13045 13665 15654 22775 26090 27330 28241 39135 45550 56482 65225 68325 78270 80879 84723 130450 136650 141205 161758 169446 195675 242637 282410 391350 404395 423615 485274 706025 808790 847230 1213185 1412050 2021975 2118075 2376799 2426370 4043950 4236150 4753598 6065925 7130397 11883995 12131850 14260794 23767990 35651985 59419975 71303970 73680769 118839950 147361538 178259925 221042307 356519850 368403845 442084614 736807690 1105211535 1842019225 2210423070 3684038450 5526057675 11052115350