Search a number
-
+
9964444160 = 29511431821
BaseRepresentation
bin10010100011110110…
…10101101000000000
3221201102212012200102
421101323111220000
5130401344203120
64324432341532
7501633243416
oct112173255000
927642765612
109964444160
11425373a420
121b210a48a8
13c2a51b708
146a75492b6
153d4bd7d75
hex251ed5a00

9964444160 has 160 divisors (see below), whose sum is σ = 26155540224. Its totient is φ = 3610624000.

The previous prime is 9964444159. The next prime is 9964444201. The reversal of 9964444160 is 614444699.

It is a tau number, because it is divible by the number of its divisors (160).

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, 12136550 + ... + 12137370.

Almost surely, 29964444160 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 9964444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13077770112).

9964444160 is an abundant number, since it is smaller than the sum of its proper divisors (16191096064).

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

9964444160 is a wasteful number, since it uses less digits than its factorization.

9964444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The square root of 9964444160 is about 99822.0624912148. The cubic root of 9964444160 is about 2151.8782332303.

The spelling of 9964444160 in words is "nine billion, nine hundred sixty-four million, four hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 431 440 512 640 704 821 862 880 1280 1408 1642 1724 1760 2155 2560 2816 3284 3448 3520 4105 4310 4741 5632 6568 6896 7040 8210 8620 9031 9482 13136 13792 14080 16420 17240 18062 18964 23705 26272 27584 28160 32840 34480 36124 37928 45155 47410 52544 55168 65680 68960 72248 75856 90310 94820 105088 110336 131360 137920 144496 151712 180620 189640 210176 220672 262720 275840 288992 303424 353851 361240 379280 420352 525440 551680 577984 606848 707702 722480 758560 1050880 1103360 1155968 1213696 1415404 1444960 1517120 1769255 2101760 2311936 2427392 2830808 2889920 3034240 3538510 3892361 4623872 5661616 5779840 6068480 7077020 7784722 11323232 11559680 12136960 14154040 15569444 19461805 22646464 23119360 28308080 31138888 38923610 45292928 56616160 62277776 77847220 90585856 113232320 124555552 155694440 181171712 226464640 249111104 311388880 452929280 498222208 622777760 905858560 996444416 1245555520 1992888832 2491111040 4982222080 9964444160