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112755322728 = 23332365334757
BaseRepresentation
bin110100100000010111…
…1011010111101101000
3101210001010000212121000
41221000233122331220
53321410330311403
6123444333515000
711101116300216
oct1510057327550
9353033025530
10112755322728
1143901492934
1219a29642a60
13a82c2b3699
1456590d7cb6
152dede597a3
hex1a40bdaf68

112755322728 has 128 divisors (see below), whose sum is σ = 327336940800. Its totient is φ = 35894884608.

The previous prime is 112755322723. The next prime is 112755322739. The reversal of 112755322728 is 827223557211.

It is a happy number.

112755322728 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 553 + 22 + 72 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (112755322723) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3226726 + ... + 3261482.

It is an arithmetic number, because the mean of its divisors is an integer number (2557319850).

Almost surely, 2112755322728 is an apocalyptic number.

112755322728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112755322728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163668470400).

112755322728 is an abundant number, since it is smaller than the sum of its proper divisors (214581618072).

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

112755322728 is a wasteful number, since it uses less digits than its factorization.

112755322728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35448 (or 35438 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

Adding to 112755322728 its reverse (827223557211), we get a palindrome (939978879939).

The spelling of 112755322728 in words is "one hundred twelve billion, seven hundred fifty-five million, three hundred twenty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 653 828 1242 1306 1656 1959 2484 2612 3918 4968 5224 5877 7836 11754 15019 15672 17631 23508 30038 34757 35262 45057 47016 60076 69514 70524 90114 104271 120152 135171 139028 141048 180228 208542 270342 278056 312813 360456 405513 417084 540684 625626 799411 811026 834168 938439 1081368 1251252 1598822 1622052 1876878 2398233 2502504 3197644 3244104 3753756 4796466 6395288 7194699 7507512 9592932 14389398 19185864 21584097 22696321 28778796 43168194 45392642 57557592 68088963 86336388 90785284 136177926 172672776 181570568 204266889 272355852 408533778 522015383 544711704 612800667 817067556 1044030766 1225601334 1566046149 1634135112 2088061532 2451202668 3132092298 4176123064 4698138447 4902405336 6264184596 9396276894 12528369192 14094415341 18792553788 28188830682 37585107576 56377661364 112755322728