Search a number
-
+
5226487050546 = 23217277593103981
BaseRepresentation
bin100110000001110001011…
…1001110111000100110010
3200111122110212110101120200
41030003202321313010302
51141112321141104141
615041003124020030
71046413135632636
oct114034271670462
920448425411520
105226487050546
1117355a475a883
12704b17b31616
132bbb17a269c8
14140d6b502dc6
1590e461a5ab6
hex4c0e2e77132

5226487050546 has 96 divisors (see below), whose sum is σ = 12053870448048. Its totient is φ = 1630992015360.

The previous prime is 5226487050487. The next prime is 5226487050569. The reversal of 5226487050546 is 6450507846225.

5226487050546 is a `hidden beast` number, since 5 + 2 + 2 + 6 + 48 + 7 + 0 + 50 + 546 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2441890649025 + 2784596401521 = 1562655^2 + 1668711^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5226487050492 and 5226487050501.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50211876 + ... + 50315856.

Almost surely, 25226487050546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5226487050546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026935224024).

5226487050546 is an abundant number, since it is smaller than the sum of its proper divisors (6827383397502).

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

5226487050546 is a wasteful number, since it uses less digits than its factorization.

5226487050546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104876 (or 104873 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 5226487050546 in words is "five trillion, two hundred twenty-six billion, four hundred eighty-seven million, fifty thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 277 306 554 593 831 1186 1662 1779 2493 3558 4709 4986 5337 9418 10081 10674 14127 20162 28254 30243 42381 60486 84762 90729 103981 164261 181458 207962 311943 328522 492783 623886 935829 985566 1478349 1767677 1871658 2792437 2956698 3535354 5303031 5584874 8377311 10606062 15909093 16754622 25131933 28802737 31818186 50263866 57605474 61660733 86408211 123321466 172816422 184982199 259224633 369964398 489646529 518449266 554946597 979293058 1048232461 1109893194 1468939587 2096464922 2937879174 3144697383 4406818761 6289394766 8813637522 9434092149 17080023041 18868184298 34160046082 51240069123 102480138246 153720207369 290360391697 307440414738 580720783394 871081175091 1742162350182 2613243525273 5226487050546