Search a number
-
+
8205665028 = 2231165994331
BaseRepresentation
bin1111010010001100…
…01000001100000100
3210011212101222021120
413221012020030010
5113301122240103
63434123513540
7410226000441
oct75106101404
923155358246
108205665028
11353097a650
1217100888b0
13a0a031ac2
1457bb229c8
153305c3253
hex1e9188304

8205665028 has 48 divisors (see below), whose sum is σ = 20919064320. Its totient is φ = 2482765600.

The previous prime is 8205665023. The next prime is 8205665051.

8205665028 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (8205665021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39823 + ... + 134153.

It is an arithmetic number, because the mean of its divisors is an integer number (435813840).

Almost surely, 28205665028 is an apocalyptic number.

It is an amenable number.

8205665028 is an abundant number, since it is smaller than the sum of its proper divisors (12713399292).

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

8205665028 is a wasteful number, since it uses less digits than its factorization.

8205665028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95008 (or 95006 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 8205665028 is about 90585.1258651220. The cubic root of 8205665028 is about 2016.9939462493.

The spelling of 8205665028 in words is "eight billion, two hundred five million, six hundred sixty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 659 1318 1977 2636 3954 7249 7908 14498 21747 28996 43494 86988 94331 188662 282993 377324 565986 1037641 1131972 2075282 3112923 4150564 6225846 12451692 62164129 124328258 186492387 248656516 372984774 683805419 745969548 1367610838 2051416257 2735221676 4102832514 8205665028