Search a number
-
+
128220819720864 = 25313107960196649
BaseRepresentation
bin11101001001110110111100…
…011010011000101010100000
3121210222210100101102112011220
4131021312330122120222200
5113301232214322031424
61132411455325535040
736002435304645153
oct3511667432305240
9553883311375156
10128220819720864
1137945165028022
121246a079114480
13567122c7b3b50
142393cc68d5c9a
15ec54b772b579
hex749dbc698aa0

128220819720864 has 96 divisors (see below), whose sum is σ = 365857968369600. Its totient is φ = 39083844360192.

The previous prime is 128220819720823. The next prime is 128220819720911. The reversal of 128220819720864 is 468027918022821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 128220819720798 and 128220819720807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479964789 + ... + 480231860.

It is an arithmetic number, because the mean of its divisors is an integer number (3811020503850).

Almost surely, 2128220819720864 is an apocalyptic number.

It is an amenable number.

128220819720864 is an abundant number, since it is smaller than the sum of its proper divisors (237637148648736).

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

128220819720864 is a wasteful number, since it uses less digits than its factorization.

128220819720864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960196782 (or 960196774 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 60.

The spelling of 128220819720864 in words is "one hundred twenty-eight trillion, two hundred twenty billion, eight hundred nineteen million, seven hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 107 156 208 214 312 321 416 428 624 642 856 1248 1284 1391 1712 2568 2782 3424 4173 5136 5564 8346 10272 11128 16692 22256 33384 44512 66768 133536 960196649 1920393298 2880589947 3840786596 5761179894 7681573192 11522359788 12482556437 15363146384 23044719576 24965112874 30726292768 37447669311 46089439152 49930225748 74895338622 92178878304 99860451496 102741041443 149790677244 199720902992 205482082886 299581354488 308223124329 399441805984 410964165772 599162708976 616446248658 821928331544 1198325417952 1232892497316 1335633538759 1643856663088 2465784994632 2671267077518 3287713326176 4006900616277 4931569989264 5342534155036 8013801232554 9863139978528 10685068310072 16027602465108 21370136620144 32055204930216 42740273240288 64110409860432 128220819720864