Search a number
-
+
110649033792 = 263211431033943
BaseRepresentation
bin110011100001100110…
…0100100010001000000
3101120121022200022100200
41213003030210101000
53303102123040132
6122455332445200
710664662161153
oct1470314442100
9346538608320
10110649033792
1142a20549880
1219540179800
13a584b0317b
1454d9491c9a
152d2909dd7c
hex19c3324440

110649033792 has 336 divisors, whose sum is σ = 357561904128. Its totient is φ = 32424053760.

The previous prime is 110649033791. The next prime is 110649033823. The reversal of 110649033792 is 297330946011.

It is not an unprimeable number, because it can be changed into a prime (110649033791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28060173 + ... + 28064115.

Almost surely, 2110649033792 is an apocalyptic number.

110649033792 is a gapful number since it is divisible by the number (12) 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 110649033792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178780952064).

110649033792 is an abundant number, since it is smaller than the sum of its proper divisors (246912870336).

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

110649033792 is a wasteful number, since it uses less digits than its factorization.

110649033792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 110649033792 in words is "one hundred ten billion, six hundred forty-nine million, thirty-three thousand, seven hundred ninety-two".