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128028636756 = 223247711065733
BaseRepresentation
bin111011100111100011…
…0011111011001010100
3110020110112110121122100
41313033012133121110
54044200312334011
6134452054002100
712151445312436
oct1671706373124
9406415417570
10128028636756
114a329911809
1220990646330
13c0c4645ac7
1462a7746656
1534e4c5ad56
hex1dcf19f654

128028636756 has 72 divisors (see below), whose sum is σ = 335169080064. Its totient is φ = 41179884480.

The previous prime is 128028636739. The next prime is 128028636763. The reversal of 128028636756 is 657636820821.

128028636756 is a `hidden beast` number, since 1 + 280 + 286 + 36 + 7 + 56 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 412735 + ... + 652998.

It is an arithmetic number, because the mean of its divisors is an integer number (4655126112).

Almost surely, 2128028636756 is an apocalyptic number.

It is an amenable number.

128028636756 is an abundant number, since it is smaller than the sum of its proper divisors (207140443308).

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

128028636756 is a wasteful number, since it uses less digits than its factorization.

128028636756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065861 (or 1065856 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 128028636756 in words is "one hundred twenty-eight billion, twenty-eight million, six hundred thirty-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 71 94 141 142 188 213 282 284 423 426 564 639 846 852 1278 1692 2556 3337 6674 10011 13348 20022 30033 40044 60066 120132 1065733 2131466 3197199 4262932 6394398 9591597 12788796 19183194 38366388 50089451 75667043 100178902 150268353 151334086 200357804 227001129 300536706 302668172 450805059 454002258 601073412 681003387 901610118 908004516 1362006774 1803220236 2724013548 3556351021 7112702042 10669053063 14225404084 21338106126 32007159189 42676212252 64014318378 128028636756