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128555856 = 243311132081
BaseRepresentation
bin1111010100110…
…01101101010000
322221220022111000
413222121231100
5230402241411
620431222000
73120464262
oct752315520
9287808430
10128555856
1166625a10
1237077900
1320831370
1413105b32
15b445956
hex7a99b50

128555856 has 160 divisors (see below), whose sum is σ = 433722240. Its totient is φ = 35942400.

The previous prime is 128555851. The next prime is 128555897. The reversal of 128555856 is 658555821.

128555856 is a `hidden beast` number, since 12 + 8 + 55 + 585 + 6 = 666.

It is a super-2 number, since 2×1285558562 = 33053216223785472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128555851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60736 + ... + 62816.

It is an arithmetic number, because the mean of its divisors is an integer number (2710764).

Almost surely, 2128555856 is an apocalyptic number.

128555856 is a gapful number since it is divisible by the number (16) 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 128555856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216861120).

128555856 is an abundant number, since it is smaller than the sum of its proper divisors (305166384).

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

128555856 is a wasteful number, since it uses less digits than its factorization.

128555856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2110 counting only the distinct ones).

The product of its digits is 480000, while the sum is 45.

The square root of 128555856 is about 11338.2474836281. The cubic root of 128555856 is about 504.6968817811.

The spelling of 128555856 in words is "one hundred twenty-eight million, five hundred fifty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 351 396 429 432 468 528 572 594 624 702 792 858 936 1144 1188 1287 1404 1584 1716 1872 2081 2288 2376 2574 2808 3432 3861 4162 4752 5148 5616 6243 6864 7722 8324 10296 12486 15444 16648 18729 20592 22891 24972 27053 30888 33296 37458 45782 49944 54106 56187 61776 68673 74916 81159 91564 99888 108212 112374 137346 149832 162318 183128 206019 216424 224748 243477 274692 297583 299664 324636 366256 412038 432848 449496 486954 549384 595166 618057 649272 730431 824076 892749 898992 973908 1098768 1190332 1236114 1298544 1460862 1648152 1785498 1947816 2380664 2472228 2678247 2921724 3296304 3570996 3895632 4761328 4944456 5356494 5843448 7141992 8034741 9888912 10712988 11686896 14283984 16069482 21425976 32138964 42851952 64277928 128555856