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128110308552 = 233241349124349
BaseRepresentation
bin111011101001111111…
…0000010110011001000
3110020200020010222021200
41313103332002303020
54044332214333202
6134504132304200
712153456440562
oct1672376026310
9406606128250
10128110308552
114a370a24a66
12209b3a72060
13c108540105
1462b4526332
1534ebedee1c
hex1dd3f82cc8

128110308552 has 96 divisors (see below), whose sum is σ = 356449275000. Its totient is φ = 41542179840.

The previous prime is 128110308533. The next prime is 128110308559. The reversal of 128110308552 is 255803011821.

128110308552 is a `hidden beast` number, since 12 + 81 + 10 + 3 + 0 + 8 + 552 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118153062756 + 9957245796 = 343734^2 + 99786^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (128110308559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 968074 + ... + 1092422.

Almost surely, 2128110308552 is an apocalyptic number.

128110308552 is a gapful number since it is divisible by the number (12) 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 128110308552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178224637500).

128110308552 is an abundant number, since it is smaller than the sum of its proper divisors (228338966448).

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

128110308552 is a wasteful number, since it uses less digits than its factorization.

128110308552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124751 (or 124744 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 128110308552 in words is "one hundred twenty-eight billion, one hundred ten million, three hundred eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 349 369 492 698 738 984 1047 1396 1476 2094 2792 2952 3141 4188 6282 8376 12564 14309 25128 28618 42927 57236 85854 114472 124349 128781 171708 248698 257562 343416 373047 497396 515124 746094 994792 1030248 1119141 1492188 2238282 2984376 4476564 5098309 8953128 10196618 15294927 20393236 30589854 40786472 43397801 45884781 61179708 86795602 91769562 122359416 130193403 173591204 183539124 260386806 347182408 367078248 390580209 520773612 781160418 1041547224 1562320836 1779309841 3124641672 3558619682 5337929523 7117239364 10675859046 14234478728 16013788569 21351718092 32027577138 42703436184 64055154276 128110308552