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11534305350 = 23521728116097
BaseRepresentation
bin10101011110111111…
…11000100001000110
31002202211211102101110
422233133320201012
5142110240232400
65144312105450
7555554656251
oct125737704106
932684742343
1011534305350
1149898a6367
12229a995286
13111a831269
147b5c36098
15477931e50
hex2af7f8846

11534305350 has 96 divisors (see below), whose sum is σ = 30397402656. Its totient is φ = 2884403200.

The previous prime is 11534305309. The next prime is 11534305373. The reversal of 11534305350 is 5350343511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 708502 + ... + 724598.

It is an arithmetic number, because the mean of its divisors is an integer number (316639611).

Almost surely, 211534305350 is an apocalyptic number.

11534305350 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 11534305350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15198701328).

11534305350 is an abundant number, since it is smaller than the sum of its proper divisors (18863097306).

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

11534305350 is a wasteful number, since it uses less digits than its factorization.

11534305350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16410 (or 16405 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 11534305350 its reverse (5350343511), we get a palindrome (16884648861).

The spelling of 11534305350 in words is "eleven billion, five hundred thirty-four million, three hundred five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 281 425 510 562 843 850 1275 1405 1686 2550 2810 4215 4777 7025 8430 9554 14050 14331 16097 21075 23885 28662 32194 42150 47770 48291 71655 80485 96582 119425 143310 160970 238850 241455 273649 358275 402425 482910 547298 716550 804850 820947 1207275 1368245 1641894 2414550 2736490 4104735 4523257 6841225 8209470 9046514 13569771 13682450 20523675 22616285 27139542 41047350 45232570 67848855 76895369 113081425 135697710 153790738 226162850 230686107 339244275 384476845 461372214 678488550 768953690 1153430535 1922384225 2306861070 3844768450 5767152675 11534305350