Search a number
-
+
19445323392 = 2732112139501
BaseRepresentation
bin10010000111000010…
…000001011010000000
31212012011210202222200
4102013002001122000
5304311000322032
612533312433200
71255605343635
oct220702013200
955164722880
1019445323392
118279418300
123928248800
131aab7ba921
14d2677a18c
1578c20247c
hex487081680

19445323392 has 144 divisors (see below), whose sum is σ = 61505734290. Its totient is φ = 5892480000.

The previous prime is 19445323361. The next prime is 19445323399. The reversal of 19445323392 is 29332354491.

19445323392 is a `hidden beast` number, since 1 + 94 + 453 + 23 + 3 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12352988736 + 7092334656 = 111144^2 + 84216^2 .

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

It is not an unprimeable number, because it can be changed into a prime (19445323399) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69642 + ... + 209142.

Almost surely, 219445323392 is an apocalyptic number.

19445323392 is a gapful number since it is divisible by the number (12) 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 19445323392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30752867145).

19445323392 is an abundant number, since it is smaller than the sum of its proper divisors (42060410898).

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

19445323392 is a wasteful number, since it uses less digits than its factorization.

19445323392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139543 (or 139517 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 19445323392 in words is "nineteen billion, four hundred forty-five million, three hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1089 1152 1408 1452 1584 1936 2112 2178 2904 3168 3872 4224 4356 5808 6336 7744 8712 11616 12672 15488 17424 23232 34848 46464 69696 139392 139501 279002 418503 558004 837006 1116008 1255509 1534511 1674012 2232016 2511018 3069022 3348024 4464032 4603533 5022036 6138044 6696048 8928064 9207066 10044072 12276088 13392096 13810599 16879621 17856128 18414132 20088144 24552176 26784192 27621198 33759242 36828264 40176288 49104352 50638863 53568384 55242396 67518484 73656528 80352576 98208704 101277726 110484792 135036968 147313056 151916589 160705152 196417408 202555452 220969584 270073936 294626112 303833178 405110904 441939168 540147872 589252224 607666356 810221808 883878336 1080295744 1215332712 1620443616 1767756672 2160591488 2430665424 3240887232 4861330848 6481774464 9722661696 19445323392