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19994464092384 = 25322711061241453
BaseRepresentation
bin1001000101111010100101…
…11011100000000011100000
32121210110012120200021001100
410202331102323200003200
510110042130301424014
6110305155140234400
74132360313415345
oct442752273400340
977713176607040
1019994464092384
1164096717a8781
1222ab08969ba00
13b2061540a162
144d1a46d387cc
1524a17dd72009
hex122f52ee00e0

19994464092384 has 144 divisors (see below), whose sum is σ = 57123094601664. Its totient is φ = 6633941990400.

The previous prime is 19994464092349. The next prime is 19994464092389. The reversal of 19994464092384 is 48329046449991.

19994464092384 is a `hidden beast` number, since 1 + 9 + 99 + 446 + 4 + 0 + 92 + 3 + 8 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19994464092389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82688202 + ... + 82929654.

It is an arithmetic number, because the mean of its divisors is an integer number (396688156956).

Almost surely, 219994464092384 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 19994464092384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28561547300832).

19994464092384 is an abundant number, since it is smaller than the sum of its proper divisors (37128630509280).

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

19994464092384 is a wasteful number, since it uses less digits than its factorization.

19994464092384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242801 (or 242790 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 19994464092384 in words is "nineteen trillion, nine hundred ninety-four billion, four hundred sixty-four million, ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 271 288 542 813 1061 1084 1626 2122 2168 2439 3183 3252 4244 4336 4878 6366 6504 8488 8672 9549 9756 12732 13008 16976 19098 19512 25464 26016 33952 38196 39024 50928 76392 78048 101856 152784 241453 287531 305568 482906 575062 724359 862593 965812 1150124 1448718 1725186 1931624 2173077 2300248 2587779 2897436 3450372 3863248 4346154 4600496 5175558 5794872 6900744 7726496 8692308 9200992 10351116 11589744 13801488 17384616 20702232 23179488 27602976 34769232 41404464 65433763 69538464 82808928 130867526 196301289 256181633 261735052 392602578 512363266 523470104 588903867 768544899 785205156 1024726532 1046940208 1177807734 1537089798 1570410312 2049453064 2093880416 2305634697 2355615468 3074179596 3140820624 4098906128 4611269394 4711230936 6148359192 6281641248 8197812256 9222538788 9422461872 12296718384 18445077576 18844923744 24593436768 36890155152 69425222543 73780310304 138850445086 208275667629 277700890172 416551335258 555401780344 624827002887 833102670516 1110803560688 1249654005774 1666205341032 2221607121376 2499308011548 3332410682064 4998616023096 6664821364128 9997232046192 19994464092384