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44012618104 = 23721313165929
BaseRepresentation
bin101000111111010110…
…110100000101111000
311012121022111122201211
4220333112310011320
51210114212234404
632115155052504
73115450036600
oct507726640570
9135538448654
1044012618104
1117735a80454
1286438a1134
1341c54a13c0
1421b7487c00
151228e00b04
hexa3f5b4178

44012618104 has 96 divisors (see below), whose sum is σ = 104172037200. Its totient is φ = 17278410240.

The previous prime is 44012618099. The next prime is 44012618113. The reversal of 44012618104 is 40181621044.

It is a super-2 number, since 2×440126181042 (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 634612 + ... + 700540.

Almost surely, 244012618104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44012618104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52086018600).

44012618104 is an abundant number, since it is smaller than the sum of its proper divisors (60159419096).

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

44012618104 is a wasteful number, since it uses less digits than its factorization.

44012618104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66093 (or 66082 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 44012618104 in words is "forty-four billion, twelve million, six hundred eighteen thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 131 182 196 262 364 392 524 637 728 917 1048 1274 1703 1834 2548 3406 3668 5096 6419 6812 7336 11921 12838 13624 23842 25676 47684 51352 65929 83447 95368 131858 166894 263716 333788 461503 527432 667576 857077 923006 1714154 1846012 3230521 3428308 3692024 5999539 6461042 6856616 8636699 11999078 12922084 17273398 23998156 25844168 34546796 41996773 47996312 60456893 69093592 83993546 112277087 120913786 167987092 224554174 241827572 335974184 423198251 449108348 483655144 785939609 846396502 898216696 1571879218 1692793004 3143758436 3385586008 5501577263 6287516872 11003154526 22006309052 44012618104