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110359034816 = 2641233917981
BaseRepresentation
bin110011011000111101…
…0010011101111000000
3101112212002222211112212
41212301322103233000
53302003403103231
6122410453041252
710654541214122
oct1466172235700
9345762884485
10110359034816
11428918862a8
121947b026228
13a5399c7544
1454acb63212
152d0d8b842b
hex19b1e93bc0

110359034816 has 56 divisors (see below), whose sum is σ = 224443411920. Its totient is φ = 53807667200.

The previous prime is 110359034809. The next prime is 110359034831. The reversal of 110359034816 is 618430953011.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 7 ways as a sum of consecutive naturals, for example, 6128546 + ... + 6146526.

It is an arithmetic number, because the mean of its divisors is an integer number (4007918070).

Almost surely, 2110359034816 is an apocalyptic number.

110359034816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

110359034816 is the 191798-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110359034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112221705960).

110359034816 is an abundant number, since it is smaller than the sum of its proper divisors (114084377104).

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

110359034816 is a wasteful number, since it uses less digits than its factorization.

110359034816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20373 (or 20363 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

Adding to 110359034816 its reverse (618430953011), we get a palindrome (728789987827).

The spelling of 110359034816 in words is "one hundred ten billion, three hundred fifty-nine million, thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2339 2624 4678 9356 17981 18712 35962 37424 71924 74848 95899 143848 149696 191798 287696 383596 575392 737221 767192 1150784 1474442 1534384 2948884 3068768 5897768 6137536 11795536 23591072 42057559 47182144 84115118 168230236 336460472 672920944 1345841888 1724359919 2691683776 3448719838 6897439676 13794879352 27589758704 55179517408 110359034816