Search a number
-
+
204112412122032 = 24325924024530617
BaseRepresentation
bin101110011010001110011111…
…110100011001101110110000
3222202200221210221120020020200
4232122032133310121232300
5203223134210000401112
62002035540405235200
760664430564513061
oct5632163764315660
9882627727506220
10204112412122032
115a044651497007
121aa86429a02b00
1389b794422584b
143859144640568
15188e673caecdc
hexb9a39fd19bb0

204112412122032 has 60 divisors (see below), whose sum is σ = 580913150343240. Its totient is φ = 66884293234944.

The previous prime is 204112412122019. The next prime is 204112412122051. The reversal of 204112412122032 is 230221214211402.

204112412122032 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 1 + 241 + 212 + 203 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 204112412121987 and 204112412122005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12012256813 + ... + 12012273804.

It is an arithmetic number, because the mean of its divisors is an integer number (9681885839054).

Almost surely, 2204112412122032 is an apocalyptic number.

It is an amenable number.

204112412122032 is an abundant number, since it is smaller than the sum of its proper divisors (376800738221208).

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

204112412122032 is a wasteful number, since it uses less digits than its factorization.

204112412122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24024530690 (or 24024530681 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 204112412122032 its reverse (230221214211402), we get a palindrome (434333626333434).

The spelling of 204112412122032 in words is "two hundred four trillion, one hundred twelve billion, four hundred twelve million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 4248 8496 24024530617 48049061234 72073591851 96098122468 144147183702 192196244936 216220775553 288294367404 384392489872 432441551106 576588734808 864883102212 1153177469616 1417447306403 1729766204424 2834894612806 3459532408848 4252341919209 5669789225612 8504683838418 11339578451224 12757025757627 17009367676836 22679156902448 25514051515254 34018735353672 51028103030508 68037470707344 102056206061016 204112412122032