Search a number
-
+
5144909074704 = 24357189039869
BaseRepresentation
bin100101011011110010001…
…1110100101000100010000
3200012211220120002211200000
41022313210132211010100
51133243233210342304
614535312200530000
71040464433400450
oct112674436450420
920184816084600
105144909074704
111703a42055133
126b114b780900
132b42169ca999
1413b02cd67d60
158dc6e3d8939
hex4ade47a5110

5144909074704 has 120 divisors (see below), whose sum is σ = 17065007144640. Its totient is φ = 1469974013568.

The previous prime is 5144909074651. The next prime is 5144909074759. The reversal of 5144909074704 is 4074709094415.

5144909074704 is a `hidden beast` number, since 5 + 14 + 490 + 9 + 0 + 74 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 94492719 + ... + 94547150.

It is an arithmetic number, because the mean of its divisors is an integer number (142208392872).

Almost surely, 25144909074704 is an apocalyptic number.

5144909074704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5144909074704 is an abundant number, since it is smaller than the sum of its proper divisors (11920098069936).

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

5144909074704 is a wasteful number, since it uses less digits than its factorization.

5144909074704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189039899 (or 189039881 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 5144909074704 in words is "five trillion, one hundred forty-four billion, nine hundred nine million, seventy-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 6804 9072 13608 27216 189039869 378079738 567119607 756159476 1134239214 1323279083 1512318952 1701358821 2268478428 2646558166 3024637904 3402717642 3969837249 4536956856 5104076463 5293116332 6805435284 7939674498 9073913712 10208152926 10586232664 11909511747 13610870568 15312229389 15879348996 20416305852 21172465328 23819023494 27221741136 30624458778 31758697992 35728535241 40832611704 45936688167 47638046988 61248917556 63517395984 71457070482 81665223408 91873376334 95276093976 107185605723 122497835112 142914140964 183746752668 190552187952 214371211446 244995670224 285828281928 321556817169 367493505336 428742422892 571656563856 643113634338 734987010672 857484845784 1286227268676 1714969691568 2572454537352 5144909074704