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128327008263120 = 24325199380629259
BaseRepresentation
bin11101001011011001110101…
…101111100001101111010000
3121211100221102211220101110100
4131023121311233201233100
5113310002203103404440
61132532340322532400
736013214615446002
oct3513316557415720
9554327384811410
10128327008263120
11379861a6760557
1212486773507100
13567b2534643c4
1423990bb804372
15ec812ede3230
hex74b675be1bd0

128327008263120 has 120 divisors (see below), whose sum is σ = 453647231013600. Its totient is φ = 32419454715648.

The previous prime is 128327008263109. The next prime is 128327008263151. The reversal of 128327008263120 is 21362800723821.

128327008263120 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 2 + 7 + 0 + 0 + 8 + 2 + 631 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4690300950 + ... + 4690328309.

It is an arithmetic number, because the mean of its divisors is an integer number (3780393591780).

Almost surely, 2128327008263120 is an apocalyptic number.

128327008263120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128327008263120 is an abundant number, since it is smaller than the sum of its proper divisors (325320222750480).

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

128327008263120 is a wasteful number, since it uses less digits than its factorization.

128327008263120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9380629297 (or 9380629288 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

Adding to 128327008263120 its reverse (21362800723821), we get a palindrome (149689808986941).

The spelling of 128327008263120 in words is "one hundred twenty-eight trillion, three hundred twenty-seven billion, eight million, two hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 9380629259 18761258518 28141887777 37522517036 46903146295 56283775554 75045034072 84425663331 93806292590 112567551108 140709438885 150090068144 168851326662 178231955921 187612585180 225135102216 281418877770 337702653324 356463911842 375225170360 422128316655 450270204432 534695867763 562837755540 675405306648 712927823684 750450340720 844256633310 891159779605 1069391735526 1125675511080 1350810613296 1425855647368 1604087603289 1688513266620 1782319559210 2138783471052 2251351022160 2673479338815 2851711294736 3208175206578 3377026533240 3564639118420 4277566942104 5346958677630 6416350413156 6754053066480 7129278236840 8020438016445 8555133884208 10693917355260 12832700826312 14258556473680 16040876032890 21387834710520 25665401652624 32081752065780 42775669421040 64163504131560 128327008263120