Search a number
-
+
28560665070 = 2335719975937
BaseRepresentation
bin11010100110010110…
…010010100111101110
32201201102221010001000
4122212112102213232
5431443012240240
621042014101130
72030521435050
oct324626224756
981642833030
1028560665070
1111126829433
125650aaa7a6
132902123722
14154d2178d0
15b225b4430
hex6a65929ee

28560665070 has 128 divisors (see below), whose sum is σ = 87480576000. Its totient is φ = 6495261696.

The previous prime is 28560665017. The next prime is 28560665099. The reversal of 28560665070 is 7056606582.

28560665070 is a `hidden beast` number, since 2 + 85 + 6 + 0 + 66 + 507 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338142 + ... + 414078.

It is an arithmetic number, because the mean of its divisors is an integer number (683442000).

Almost surely, 228560665070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28560665070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43740288000).

28560665070 is an abundant number, since it is smaller than the sum of its proper divisors (58919910930).

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

28560665070 is a wasteful number, since it uses less digits than its factorization.

28560665070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76159 (or 76153 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 28560665070 in words is "twenty-eight billion, five hundred sixty million, six hundred sixty-five thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 199 210 270 315 378 398 597 630 945 995 1194 1393 1791 1890 1990 2786 2985 3582 4179 5373 5970 6965 8358 8955 10746 12537 13930 17910 20895 25074 26865 37611 41790 53730 62685 75222 75937 125370 151874 188055 227811 376110 379685 455622 531559 683433 759370 1063118 1139055 1366866 1594677 2050299 2278110 2657795 3189354 3417165 4100598 4784031 5315590 6834330 7973385 9568062 10251495 14352093 15111463 15946770 20502990 23920155 28704186 30222926 45334389 47840310 71760465 75557315 90668778 105780241 136003167 143520930 151114630 211560482 226671945 272006334 317340723 408009501 453343890 528901205 634681446 680015835 816019002 952022169 1057802410 1360031670 1586703615 1904044338 2040047505 2856066507 3173407230 4080095010 4760110845 5712133014 9520221690 14280332535 28560665070