Search a number
-
+
5305505302524 = 2237233719738403
BaseRepresentation
bin100110100110100100011…
…0000100100011111111100
3200210012102210020111110210
41031031020300210133330
51143411133324140044
615141152051232420
71055211236662260
oct115151060443774
920705383214423
105305505302524
11176606347a059
127182aaba8710
132c63cb64221b
14144b05b220a0
159301d39b1b9
hex4d348c247fc

5305505302524 has 96 divisors (see below), whose sum is σ = 14767134842880. Its totient is φ = 1449559919808.

The previous prime is 5305505302499. The next prime is 5305505302529. The reversal of 5305505302524 is 4252035055035.

It is a happy number.

It is a super-2 number, since 2×53055053025242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5305505302529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6815907 + ... + 7554309.

It is an arithmetic number, because the mean of its divisors is an integer number (153824321280).

Almost surely, 25305505302524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305505302524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383567421440).

5305505302524 is an abundant number, since it is smaller than the sum of its proper divisors (9461629540356).

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

5305505302524 is a wasteful number, since it uses less digits than its factorization.

5305505302524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742159 (or 742157 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 39.

The spelling of 5305505302524 in words is "five trillion, three hundred five billion, five hundred five million, three hundred two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 3719 7438 11157 14876 22314 26033 44628 52066 78099 85537 104132 156198 171074 256611 312396 342148 513222 598759 738403 1026444 1197518 1476806 1796277 2215209 2395036 2953612 3592554 4430418 5168821 7185108 8860836 10337642 15506463 16983269 20675284 31012926 33966538 50949807 62025852 67933076 101899614 118882883 203799228 237765766 356648649 475531532 713297298 1426594596 2746120757 5492241514 8238362271 10984483028 16476724542 19222845299 32953449084 38445690598 57668535897 63160777411 76891381196 115337071794 126321554822 189482332233 230674143588 252643109644 378964664466 442125441877 757929328932 884250883754 1326376325631 1768501767508 2652752651262 5305505302524