Search a number
-
+
20119673484144 = 24321319587963659
BaseRepresentation
bin1001001001100011110011…
…11111011011001101110000
32122020102101122020101121100
410210301321333123031300
510114120042402443034
6110442503404124400
74144412156610003
oct444617177331560
978212348211540
1020119673484144
116457784187a43
12230b3b1b36700
13b2c37a948150
144d7b2408b53a
1524d55b341099
hex124c79fdb370

20119673484144 has 240 divisors, whose sum is σ = 63938763907200. Its totient is φ = 5854846800384.

The previous prime is 20119673484143. The next prime is 20119673484161. The reversal of 20119673484144 is 44148437691102.

It is a happy number.

20119673484144 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 96 + 73 + 484 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×201196734841442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20119673484143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20396587 + ... + 21360245.

It is an arithmetic number, because the mean of its divisors is an integer number (266411516280).

Almost surely, 220119673484144 is an apocalyptic number.

20119673484144 is a gapful number since it is divisible by the number (24) 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 20119673484144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31969381953600).

20119673484144 is an abundant number, since it is smaller than the sum of its proper divisors (43819090423056).

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

20119673484144 is a wasteful number, since it uses less digits than its factorization.

20119673484144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964292 (or 964283 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 20119673484144 in words is "twenty trillion, one hundred nineteen billion, six hundred seventy-three million, four hundred eighty-four thousand, one hundred forty-four".