Search a number
-
+
51254243236 = 227210321572
BaseRepresentation
bin101111101110111111…
…011010111110100100
311220021222220022220001
4233232333122332210
51314432041240421
635313524151044
73463061610400
oct575677327644
9156258808801
1051254243236
111a811758609
129b24b38484
134aaa876aa1
1426a3140100
1514eea47691
hexbeefdafa4

51254243236 has 81 divisors (see below), whose sum is σ = 106037199009. Its totient is φ = 21614287968.

The previous prime is 51254243219. The next prime is 51254243237. The reversal of 51254243236 is 63234245215.

The square root of 51254243236 is 226394.

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

It can be written as a sum of positive squares in only one way, i.e., 15023404900 + 36230838336 = 122570^2 + 190344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51254243195 and 51254243204.

It is not an unprimeable number, because it can be changed into a prime (51254243237) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 326460070 + ... + 326460226.

Almost surely, 251254243236 is an apocalyptic number.

51254243236 is the 226394-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51254243236

51254243236 is an abundant number, since it is smaller than the sum of its proper divisors (54782955773).

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

51254243236 is a wasteful number, since it uses less digits than its factorization.

51254243236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 269 counting only the distinct ones).

The product of its digits is 172800, while the sum is 37.

The spelling of 51254243236 in words is "fifty-one billion, two hundred fifty-four million, two hundred forty-three thousand, two hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 98 103 157 196 206 314 412 628 721 1099 1442 2198 2884 4396 5047 7693 10094 10609 15386 16171 20188 21218 24649 30772 32342 42436 49298 64684 74263 98596 113197 148526 172543 226394 297052 345086 452788 519841 690172 792379 1039682 1207801 1584758 1665613 2079364 2415602 2538847 3169516 3331226 4831204 5077694 6662452 10155388 11659291 17771929 23318582 35543858 46637164 71087716 81615037 124403503 163230074 248807006 261501241 326460148 497614012 523002482 1046004964 1830508687 3661017374 7322034748 12813560809 25627121618 51254243236