Search a number
-
+
6126350656 = 2617231371787
BaseRepresentation
bin1011011010010100…
…01011000101000000
3120210221210212012011
411231022023011000
5100021321210111
62451524542304
7304550056426
oct55512130500
916727725164
106126350656
11266418aa18
12122b851994
1376830747a
144218dd116
1525cc95021
hex16d28b140

6126350656 has 112 divisors (see below), whose sum is σ = 13537362816. Its totient is φ = 2735980544.

The previous prime is 6126350641. The next prime is 6126350687. The reversal of 6126350656 is 6560536216.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 3427395 + ... + 3429181.

Almost surely, 26126350656 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 6126350656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768681408).

6126350656 is an abundant number, since it is smaller than the sum of its proper divisors (7411012160).

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

6126350656 is a wasteful number, since it uses less digits than its factorization.

6126350656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The square root of 6126350656 is about 78271.0077614949. The cubic root of 6126350656 is about 1829.7873339220.

The spelling of 6126350656 in words is "six billion, one hundred twenty-six million, three hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 136 137 184 272 274 368 391 544 548 736 782 1088 1096 1472 1564 1787 2192 2329 3128 3151 3574 4384 4658 6256 6302 7148 8768 9316 12512 12604 14296 18632 25024 25208 28592 30379 37264 41101 50416 53567 57184 60758 74528 82202 100832 107134 114368 121516 149056 164404 201664 214268 243032 244819 328808 428536 486064 489638 657616 698717 857072 972128 979276 1315232 1397434 1714144 1944256 1958552 2630464 2794868 3428288 3917104 4161923 5589736 5630837 7834208 8323846 11179472 11261674 15668416 16647692 22358944 22523348 33295384 44717888 45046696 66590768 90093392 95724229 133181536 180186784 191448458 266363072 360373568 382896916 765793832 1531587664 3063175328 6126350656