Search a number
-
+
1661981819904 = 21032725762367
BaseRepresentation
bin11000001011110101110…
…101100000010000000000
312212212212101000011112200
4120023311311200100000
5204212214321214104
63311300502153200
7231034313244240
oct30136565402000
95785771004480
101661981819904
1159092a45613a
1222a12a422800
13c0955133613
145a624465b20
152d372d07b39
hex182f5d60400

1661981819904 has 132 divisors (see below), whose sum is σ = 5484498998784. Its totient is φ = 474851930112.

The previous prime is 1661981819903. The next prime is 1661981819929. The reversal of 1661981819904 is 4099181891661.

1661981819904 is a `hidden beast` number, since 1 + 6 + 619 + 8 + 1 + 8 + 1 + 9 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1661981819903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12816672 + ... + 12945695.

Almost surely, 21661981819904 is an apocalyptic number.

1661981819904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1661981819904 is an abundant number, since it is smaller than the sum of its proper divisors (3822517178880).

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

1661981819904 is a wasteful number, since it uses less digits than its factorization.

1661981819904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25762400 (or 25762379 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 63.

The spelling of 1661981819904 in words is "one trillion, six hundred sixty-one billion, nine hundred eighty-one million, eight hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 32256 64512 25762367 51524734 77287101 103049468 154574202 180336569 206098936 231861303 309148404 360673138 412197872 463722606 541009707 618296808 721346276 824395744 927445212 1082019414 1236593616 1442692552 1623029121 1648791488 1854890424 2164038828 2473187232 2885385104 3246058242 3297582976 3709780848 4328077656 4946374464 5770770208 6492116484 6595165952 7419561696 8656155312 9892748928 11541540416 12984232968 13190331904 14839123392 17312310624 19785497856 23083080832 25968465936 26380663808 29678246784 34624621248 39570995712 46166161664 51936931872 59356493568 69249242496 79141991424 92332323328 103873863744 118712987136 138498484992 184664646656 207747727488 237425974272 276996969984 415495454976 553993939968 830990909952 1661981819904