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128852920080 = 243251117160217
BaseRepresentation
bin111100000000000111…
…0111000011100010000
3110022120222111112210100
41320000032320130100
54102342321420310
6135105541132400
712211044515013
oct1700016703420
9408528445710
10128852920080
114a712128aa5
1220b806ba100
13c1c634b911
146344dd337a
1535422ccec0
hex1e003b8710

128852920080 has 120 divisors (see below), whose sum is σ = 433121164632. Its totient is φ = 34329802752.

The previous prime is 128852920067. The next prime is 128852920099. The reversal of 128852920080 is 80029258821.

128852920080 is a `hidden beast` number, since 1 + 28 + 8 + 529 + 20 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 906491664 + 127946428416 = 30108^2 + 357696^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724132 + ... + 884348.

Almost surely, 2128852920080 is an apocalyptic number.

128852920080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128852920080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216560582316).

128852920080 is an abundant number, since it is smaller than the sum of its proper divisors (304268244552).

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

128852920080 is a wasteful number, since it uses less digits than its factorization.

128852920080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161353 (or 161344 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 128852920080 in words is "one hundred twenty-eight billion, eight hundred fifty-two million, nine hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1117 2234 3351 4468 5585 6702 8936 10053 11170 13404 16755 17872 20106 22340 26808 33510 40212 44680 50265 53616 67020 80424 89360 100530 134040 160217 160848 201060 268080 320434 402120 480651 640868 801085 804240 961302 1281736 1441953 1602170 1922604 2403255 2563472 2883906 3204340 3845208 4806510 5767812 6408680 7209765 7690416 9613020 11535624 12817360 14419530 19226040 23071248 28839060 38452080 57678120 115356240 178962389 357924778 536887167 715849556 894811945 1073774334 1431699112 1610661501 1789623890 2147548668 2684435835 2863398224 3221323002 3579247780 4295097336 5368871670 6442646004 7158495560 8053307505 8590194672 10737743340 12885292008 14316991120 16106615010 21475486680 25770584016 32213230020 42950973360 64426460040 128852920080