Search a number
-
+
285960771009 = 34594172
BaseRepresentation
bin1000010100101001001…
…01110001010111000001
31000100010002122022010000
410022110211301113001
514141121424133014
6335211335430213
726442242306514
oct4122445612701
91010102568100
10285960771009
11100303444811
1247507825369
1320c73366114
14dbaa776d7b
157689dcc509
hex42949715c1

285960771009 has 15 divisors (see below), whose sum is σ = 427183156147. Its totient is φ = 190637305488.

The previous prime is 285960770867. The next prime is 285960771017. The reversal of 285960771009 is 900177069582.

The square root of 285960771009 is 534753.

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

285960771009 is a `hidden beast` number, since 28 + 5 + 9 + 607 + 7 + 1 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 218813450625 + 67147320384 = 467775^2 + 259128^2 .

It is not a de Polignac number, because 285960771009 - 213 = 285960762817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (285960771049) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4783069 + ... + 4842485.

Almost surely, 2285960771009 is an apocalyptic number.

285960771009 is the 534753-rd square number.

285960771009 is the 267377-th centered octagonal number.

It is an amenable number.

285960771009 is a deficient number, since it is larger than the sum of its proper divisors (141222385138).

285960771009 is an frugal number, since it uses more digits than its factorization.

285960771009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118846 (or 59420 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 285960771009 in words is "two hundred eighty-five billion, nine hundred sixty million, seven hundred seventy-one thousand, nine".

Divisors: 1 3 9 27 81 59417 178251 534753 1604259 4812777 3530379889 10591139667 31773419001 95320257003 285960771009