Search a number
-
+
50137479396 = 22326725572
BaseRepresentation
bin101110101100011011…
…010011100011100100
311210102011111211220100
4232230123103203210
51310140143320041
635011032104100
73423311354214
oct565433234344
9153364454810
1050137479396
111a299333394
129872b35030
1349603a6994
1425d8aba244
15148699e6b6
hexbac6d38e4

50137479396 has 81 divisors (see below), whose sum is σ = 128887622409. Its totient is φ = 16433496288.

The previous prime is 50137479389. The next prime is 50137479397. The reversal of 50137479396 is 69397473105.

It is a happy number.

The square root of 50137479396 is 223914.

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

50137479396 is a `hidden beast` number, since 5 + 0 + 137 + 479 + 39 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4399668900 + 45737810496 = 66330^2 + 213864^2 .

It is not an unprimeable number, because it can be changed into a prime (50137479397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90013150 + ... + 90013706.

Almost surely, 250137479396 is an apocalyptic number.

50137479396 is the 223914-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50137479396

50137479396 is an abundant number, since it is smaller than the sum of its proper divisors (78750143013).

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

50137479396 is an equidigital number, since it uses as much as digits as its factorization.

50137479396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 50137479396 in words is "fifty billion, one hundred thirty-seven million, four hundred seventy-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 557 603 804 1114 1206 1671 2228 2412 3342 4489 5013 6684 8978 10026 13467 17956 20052 26934 37319 40401 53868 74638 80802 111957 149276 161604 223914 310249 335871 447828 620498 671742 930747 1240996 1343484 1861494 2500373 2792241 3722988 5000746 5584482 7501119 10001492 11168964 15002238 20786683 22503357 30004476 41573366 45006714 62360049 83146732 90013428 124720098 187080147 249440196 374160294 748320588 1392707761 2785415522 4178123283 5570831044 8356246566 12534369849 16712493132 25068739698 50137479396