Search a number
-
+
2641036416 = 27371157617
BaseRepresentation
bin1001110101101011…
…0000010010000000
320211001120112212120
42131122300102000
520402101131131
61114022324240
7122306303424
oct23532602200
96731515776
102641036416
111135883827
12618589680
13331210455
141b0a84b84
15106cd9496
hex9d6b0480

2641036416 has 128 divisors (see below), whose sum is σ = 7170975360. Its totient is φ = 861020160.

The previous prime is 2641036379. The next prime is 2641036421. The reversal of 2641036416 is 6146301462.

It is a tau number, because it is divible by the number of its divisors (128).

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, 4280140 + ... + 4280756.

It is an arithmetic number, because the mean of its divisors is an integer number (56023245).

Almost surely, 22641036416 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 2641036416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585487680).

2641036416 is an abundant number, since it is smaller than the sum of its proper divisors (4529938944).

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

2641036416 is a wasteful number, since it uses less digits than its factorization.

2641036416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2641036416 is about 51391.0149345194. The cubic root of 2641036416 is about 1382.2654827743.

Adding to 2641036416 its reverse (6146301462), we get a palindrome (8787337878).

It can be divided in two parts, 26410 and 36416, that added together give a palindrome (62826).

The spelling of 2641036416 in words is "two billion, six hundred forty-one million, thirty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 157 192 213 284 314 384 426 471 568 617 628 852 942 1136 1234 1256 1704 1851 1884 2272 2468 2512 3408 3702 3768 4544 4936 5024 6816 7404 7536 9088 9872 10048 11147 13632 14808 15072 19744 20096 22294 27264 29616 30144 33441 39488 43807 44588 59232 60288 66882 78976 87614 89176 96869 118464 131421 133764 175228 178352 193738 236928 262842 267528 290607 350456 356704 387476 525684 535056 581214 700912 713408 774952 1051368 1070112 1162428 1401824 1426816 1549904 2102736 2140224 2324856 2803648 3099808 4205472 4280448 4649712 5607296 6199616 6877699 8410944 9299424 12399232 13755398 16821888 18598848 20633097 27510796 37197696 41266194 55021592 82532388 110043184 165064776 220086368 330129552 440172736 660259104 880345472 1320518208 2641036416