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11246230050 = 23521122572411
BaseRepresentation
bin10100111100101001…
…11101101000100010
31002000202202200100220
422132110331220202
5141013013330200
65055541423510
7545456243466
oct123624755042
932022680326
1011246230050
114851227100
12221a40ab96
1310a2c4a0c3
147898884a6
1545c4cb4a0
hex29e53da22

11246230050 has 144 divisors (see below), whose sum is σ = 30788716896. Its totient is φ = 2714624000.

The previous prime is 11246230049. The next prime is 11246230057. The reversal of 11246230050 is 5003264211.

11246230050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11246230050.

It is not an unprimeable number, because it can be changed into a prime (11246230057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4663345 + ... + 4665755.

It is an arithmetic number, because the mean of its divisors is an integer number (213810534).

Almost surely, 211246230050 is an apocalyptic number.

11246230050 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 11246230050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15394358448).

11246230050 is an abundant number, since it is smaller than the sum of its proper divisors (19542486846).

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

11246230050 is a wasteful number, since it uses less digits than its factorization.

11246230050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 11246230050 its reverse (5003264211), we get a palindrome (16249494261).

The spelling of 11246230050 in words is "eleven billion, two hundred forty-six million, two hundred thirty thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 242 257 275 330 363 514 550 605 726 771 825 1210 1285 1542 1650 1815 2411 2570 2827 3025 3630 3855 4822 5654 6050 6425 7233 7710 8481 9075 12055 12850 14135 14466 16962 18150 19275 24110 26521 28270 31097 36165 38550 42405 53042 60275 62194 70675 72330 79563 84810 93291 120550 132605 141350 155485 159126 180825 186582 212025 265210 291731 310970 361650 397815 424050 466455 583462 619627 663025 777425 795630 875193 932910 1239254 1326050 1458655 1554850 1750386 1858881 1989075 2332275 2917310 3098135 3717762 3978150 4375965 4664550 6196270 6815897 7293275 8751930 9294405 13631794 14586550 15490675 18588810 20447691 21879825 30981350 34079485 40895382 43759650 46472025 68158970 74974867 92944050 102238455 149949734 170397425 204476910 224924601 340794850 374874335 449849202 511192275 749748670 1022384550 1124623005 1874371675 2249246010 3748743350 5623115025 11246230050