Search a number
-
+
51620164240 = 24513719124659
BaseRepresentation
bin110000000100110011…
…010011001010010000
311221020111110001010211
4300010303103022100
51321204230223430
635414115133504
73505124104441
oct600463231220
9157214401124
1051620164240
111a98a267467
12a0075a4294
134b386158a8
1426d99932c8
151521c2872a
hexc04cd3290

51620164240 has 80 divisors (see below), whose sum is σ = 121530792960. Its totient is φ = 20389207040.

The previous prime is 51620164171. The next prime is 51620164247. The reversal of 51620164240 is 4246102615.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×516201642403 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (51620164247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2081031 + ... + 2105689.

It is an arithmetic number, because the mean of its divisors is an integer number (1519134912).

Almost surely, 251620164240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51620164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60765396480).

51620164240 is an abundant number, since it is smaller than the sum of its proper divisors (69910628720).

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

51620164240 is a wasteful number, since it uses less digits than its factorization.

51620164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25000 (or 24994 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 51620164240 its reverse (4246102615), we get a palindrome (55866266855).

The spelling of 51620164240 in words is "fifty-one billion, six hundred twenty million, one hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 191 274 382 548 685 764 955 1096 1370 1528 1910 2192 2740 3056 3820 5480 7640 10960 15280 24659 26167 49318 52334 98636 104668 123295 130835 197272 209336 246590 261670 394544 418672 493180 523340 986360 1046680 1972720 2093360 3378283 4709869 6756566 9419738 13513132 16891415 18839476 23549345 27026264 33782830 37678952 47098690 54052528 67565660 75357904 94197380 135131320 188394760 270262640 376789520 645252053 1290504106 2581008212 3226260265 5162016424 6452520530 10324032848 12905041060 25810082120 51620164240