Search a number
-
+
511342200464 = 243761101140197
BaseRepresentation
bin1110111000011100101…
…11101100011010010000
31210212212022120012021012
413130032113230122100
531334212100403324
61030523553550052
751641351663234
oct7341627543220
91725768505235
10511342200464
1118794a383597
1283127575328
13392b0c2a4b4
141aa6b7305c4
15d47b76a20e
hex770e5ec690

511342200464 has 80 divisors (see below), whose sum is σ = 1044429115056. Its totient is φ = 242258688000.

The previous prime is 511342200443. The next prime is 511342200511. The reversal of 511342200464 is 464002243115.

It can be written as a sum of positive squares in 8 ways, for example, as 77050656400 + 434291544064 = 277580^2 + 659008^2 .

It is a super-2 number, since 2×5113422004642 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 511342200464.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3577214 + ... + 3717410.

Almost surely, 2511342200464 is an apocalyptic number.

It is an amenable number.

511342200464 is an abundant number, since it is smaller than the sum of its proper divisors (533086914592).

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

511342200464 is a wasteful number, since it uses less digits than its factorization.

511342200464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140404 (or 140398 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 511342200464 its reverse (464002243115), we get a palindrome (975344443579).

The spelling of 511342200464 in words is "five hundred eleven billion, three hundred forty-two million, two hundred thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 37 61 74 101 122 148 202 244 296 404 488 592 808 976 1616 2257 3737 4514 6161 7474 9028 12322 14948 18056 24644 29896 36112 49288 59792 98576 140197 227957 280394 455914 560788 911828 1121576 1823656 2243152 3647312 5187289 8552017 10374578 14159897 17104034 20749156 28319794 34208068 41498312 56639588 68416136 82996624 113279176 136832272 226558352 316424629 523916189 632849258 863753717 1047832378 1265698516 1727507434 2095664756 2531397032 3455014868 4191329512 5062794064 6910029736 8382659024 13820059472 31958887529 63917775058 127835550116 255671100232 511342200464