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128700845001 = 384321032
BaseRepresentation
bin111011111011100101…
…0110000101111001001
3110022012101100100000000
41313313022300233021
54102034404020001
6135042505433213
712204220063311
oct1676712605711
9408171310000
10128700845001
114a6442a9813
1220b3979b809
13c1a09a4371
14632cb28441
153533c8da86
hex1df72b0bc9

128700845001 has 81 divisors (see below), whose sum is σ = 199572616269. Its totient is φ = 82991558664.

The previous prime is 128700844931. The next prime is 128700845047. The reversal of 128700845001 is 100548007821.

The square root of 128700845001 is 358749.

It is a perfect power (a square), and thus also a powerful number.

128700845001 is a `hidden beast` number, since 1 + 2 + 8 + 70 + 0 + 84 + 500 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 128700845001 - 211 = 128700842953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (128700845051) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1249522716 + ... + 1249522818.

Almost surely, 2128700845001 is an apocalyptic number.

128700845001 is the 358749-th square number.

128700845001 is the 179375-th centered octagonal number.

It is an amenable number.

128700845001 is a deficient number, since it is larger than the sum of its proper divisors (70871771268).

128700845001 is an frugal number, since it uses more digits than its factorization.

128700845001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

Multiplying 128700845001 by its sum of digits (36), we get a square (4633230420036 = 21524942).

The spelling of 128700845001 in words is "one hundred twenty-eight billion, seven hundred million, eight hundred forty-five thousand, one".

Divisors: 1 3 9 27 43 81 103 129 243 309 387 729 927 1161 1849 2187 2781 3483 4429 5547 6561 8343 10449 10609 13287 16641 25029 31347 31827 39861 49923 75087 94041 95481 119583 149769 190447 225261 282123 286443 358749 449307 456187 571341 675783 859329 1076247 1347921 1368561 1714023 2577987 3228741 4043763 4105683 5142069 7733961 9686223 12131289 12317049 15426207 19616041 23201883 29058669 36951147 46278621 58848123 69605649 110853441 138835863 176544369 332560323 416507589 529633107 997680969 1249522767 1588899321 2993042907 4766697963 14300093889 42900281667 128700845001