Search a number
-
+
5030069714406 = 232113241871177
BaseRepresentation
bin100100100110010011110…
…0001001011110111100110
3122210212111012120212222100
41021030213201023313212
51124403040321330111
614410440534512530
71026260550055032
oct111144741136746
918725435525870
105030069714406
11166a271247000
12692a40205746
132a6444a27b99
1413565717b1c2
158ac9c51b756
hex4932784bde6

5030069714406 has 96 divisors (see below), whose sum is σ = 12037268539296. Its totient is φ = 1517937062400.

The previous prime is 5030069714389. The next prime is 5030069714437. The reversal of 5030069714406 is 6044179600305.

5030069714406 is a `hidden beast` number, since 50 + 30 + 0 + 69 + 71 + 440 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5338290 + ... + 6209466.

It is an arithmetic number, because the mean of its divisors is an integer number (125388213951).

Almost surely, 25030069714406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5030069714406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6018634269648).

5030069714406 is an abundant number, since it is smaller than the sum of its proper divisors (7007198824890).

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

5030069714406 is a wasteful number, since it uses less digits than its factorization.

5030069714406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871459 (or 871434 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

It can be divided in two parts, 5030069 and 714406, that added together give a palindrome (5744475).

The spelling of 5030069714406 in words is "five trillion, thirty billion, sixty-nine million, seven hundred fourteen thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 241 242 363 482 723 726 1089 1331 1446 2169 2178 2651 2662 3993 4338 5302 7953 7986 11979 15906 23859 23958 29161 47718 58322 87483 174966 262449 320771 524898 641542 871177 962313 1742354 1924626 2613531 2886939 5227062 5773878 7840593 9582947 15681186 19165894 28748841 57497682 86246523 105412417 172493046 209953657 210824834 316237251 419907314 629860971 632474502 948711753 1159536587 1259721942 1889582913 1897423506 2309490227 2319073174 3478609761 3779165826 4618980454 6928470681 6957219522 10435829283 13856941362 20785412043 20871658566 25404392497 41570824086 50808784994 76213177491 152426354982 228639532473 279448317467 457279064946 558896634934 838344952401 1676689904802 2515034857203 5030069714406