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104454430711744 = 268997291764811
BaseRepresentation
bin10111110000000000110001…
…001111001101111111000000
3111200211202010212120020201111
4113300000301033031333000
5102142340133230233434
61010053411504013104
731000404111362161
oct2760006117157700
9450752125506644
10104454430711744
113031196a019533
12b86bb75601194
13463901a246649
141bb189b275768
15c121759bb964
hex5f00313cdfc0

104454430711744 has 112 divisors (see below), whose sum is σ = 211842462918240. Its totient is φ = 51089708482560.

The previous prime is 104454430711679. The next prime is 104454430711781. The reversal of 104454430711744 is 447117034454401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1611645099 + ... + 1611709909.

It is an arithmetic number, because the mean of its divisors is an integer number (1891450561770).

Almost surely, 2104454430711744 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 104454430711744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105921231459120).

104454430711744 is an abundant number, since it is smaller than the sum of its proper divisors (107388032206496).

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

104454430711744 is an equidigital number, since it uses as much as digits as its factorization.

104454430711744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67926 (or 67916 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 49.

The spelling of 104454430711744 in words is "one hundred four trillion, four hundred fifty-four billion, four hundred thirty million, seven hundred eleven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 89 97 178 194 356 388 712 776 1424 1552 2848 2917 3104 5696 5834 6208 8633 11668 17266 23336 34532 46672 64811 69064 93344 129622 138128 186688 259244 259613 276256 282949 518488 519226 552512 565898 1036976 1038452 1131796 2073952 2076904 2263592 4147904 4153808 4527184 5768179 6286667 8307616 9054368 11536358 12573334 16615232 18108736 23072716 25146668 25182461 46145432 50293336 50364922 92290864 100586672 100729844 184581728 189053687 201173344 201459688 369163456 378107374 402346688 402919376 559513363 756214748 805838752 1119026726 1512429496 1611677504 2238053452 3024858992 4476106904 6049717984 8952213808 12099435968 16825778143 17904427616 18338207639 33651556286 35808855232 36676415278 67303112572 73352830556 134606225144 146705661112 269212450288 293411322224 538424900576 586822644448 1076849801152 1173645288896 1632100479871 3264200959742 6528401919484 13056803838968 26113607677936 52227215355872 104454430711744