Search a number
-
+
1991023776 = 253274721013
BaseRepresentation
bin111011010101100…
…1001110010100000
312010202110111011100
41312223021302200
513034200230101
6525322314400
7100224265020
oct16653116240
95122414140
101991023776
119319766a5
12476958a00
132596537a1
1414c5dda80
15b9bdce86
hex76ac9ca0

1991023776 has 144 divisors (see below), whose sum is σ = 6608818944. Its totient is φ = 556733952.

The previous prime is 1991023753. The next prime is 1991023781. The reversal of 1991023776 is 6773201991.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84246 + ... + 105258.

It is an arithmetic number, because the mean of its divisors is an integer number (45894576).

Almost surely, 21991023776 is an apocalyptic number.

1991023776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1991023776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304409472).

1991023776 is an abundant number, since it is smaller than the sum of its proper divisors (4617795168).

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

1991023776 is a wasteful number, since it uses less digits than its factorization.

1991023776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21083 (or 21072 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 1991023776 is about 44620.8894577417. The cubic root of 1991023776 is about 1258.0333340508.

The spelling of 1991023776 in words is "one billion, nine hundred ninety-one million, twenty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 252 282 288 329 336 376 423 504 564 658 672 752 846 987 1008 1128 1316 1504 1692 1974 2016 2256 2632 2961 3384 3948 4512 5264 5922 6768 7896 10528 11844 13536 15792 21013 23688 31584 42026 47376 63039 84052 94752 126078 147091 168104 189117 252156 294182 336208 378234 441273 504312 588364 672416 756468 882546 987611 1008624 1176728 1323819 1512936 1765092 1975222 2017248 2353456 2647638 2962833 3025872 3530184 3950444 4706912 5295276 5925666 6051744 6913277 7060368 7900888 8888499 10590552 11851332 13826554 14120736 15801776 17776998 20739831 21181104 23702664 27653108 31603552 35553996 41479662 42362208 47405328 55306216 62219493 71107992 82959324 94810656 110612432 124438986 142215984 165918648 221224864 248877972 284431968 331837296 497755944 663674592 995511888 1991023776