Search a number
-
+
5558341679430 = 2355330714717741
BaseRepresentation
bin101000011100010011011…
…1110110011100101000110
3201200101001101111020020120
41100320212332303211012
51212031440432220210
615453244504242410
71112401613505411
oct120704676634506
921611041436216
105558341679430
111853308a77251
127592b1470406
133141c3226a37
1415304d106b78
15998ba1d8270
hex50e26fb3946

5558341679430 has 128 divisors (see below), whose sum is σ = 13647023824896. Its totient is φ = 1448348428800.

The previous prime is 5558341679419. The next prime is 5558341679431. The reversal of 5558341679430 is 349761438555.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5558341679431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 718035360 + ... + 718043100.

It is an arithmetic number, because the mean of its divisors is an integer number (106617373632).

Almost surely, 25558341679430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5558341679430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6823511912448).

5558341679430 is an abundant number, since it is smaller than the sum of its proper divisors (8088682145466).

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

5558341679430 is a wasteful number, since it uses less digits than its factorization.

5558341679430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9582.

The product of its (nonzero) digits is 54432000, while the sum is 60.

The spelling of 5558341679430 in words is "five trillion, five hundred fifty-eight billion, three hundred forty-one million, six hundred seventy-nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 307 318 530 614 795 921 1471 1535 1590 1842 2942 3070 4413 4605 7355 7741 8826 9210 14710 15482 16271 22065 23223 32542 38705 44130 46446 48813 77410 77963 81355 97626 116115 155926 162710 232230 233889 244065 389815 410273 451597 467778 488130 779630 820546 903194 1169445 1230819 1354791 2051365 2257985 2338890 2376487 2461638 2709582 4102730 4515970 4752974 6154095 6773955 7129461 11387011 11882435 12308190 13547910 14258922 22774022 23764870 23934641 34161033 35647305 47869282 56935055 68322066 71294610 71803923 113870110 119673205 125953811 143607846 170805165 239346410 251907622 341610330 359019615 377861433 603511583 629769055 718039230 755722866 1207023166 1259538110 1810534749 1889307165 3017557915 3495812377 3621069498 3778614330 6035115830 6991624754 9052673745 10487437131 17479061885 18105347490 20974874262 34958123770 52437185655 104874371310 185278055981 370556111962 555834167943 926390279905 1111668335886 1852780559810 2779170839715 5558341679430