Search a number
-
+
500127607013344 = 25375325213161407
BaseRepresentation
bin111000110110111010000100…
…0010110111011111111100000
32102120210201202211200120110221
41301231310020112323333200
51011023042314343411334
64531403241214532424
7210226012221605512
oct16155641026737740
92376721684616427
10500127607013344
111353a0a2194a682
12481140b7807114
131860aaa5866b8b
148b7043bbadbb2
153cc47006238b4
hex1c6dd085bbfe0

500127607013344 has 96 divisors (see below), whose sum is σ = 1030726723493376. Its totient is φ = 238619889930240.

The previous prime is 500127607013327. The next prime is 500127607013369. The reversal of 500127607013344 is 443310706721005.

It is a self number, because there is not a number n which added to its sum of digits gives 500127607013344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156617089 + ... + 159778495.

It is an arithmetic number, because the mean of its divisors is an integer number (10736736703056).

Almost surely, 2500127607013344 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 500127607013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515363361746688).

500127607013344 is an abundant number, since it is smaller than the sum of its proper divisors (530599116480032).

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

500127607013344 is a wasteful number, since it uses less digits than its factorization.

500127607013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164028 (or 3164020 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 500127607013344 in words is "five hundred trillion, one hundred twenty-seven billion, six hundred seven million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 37 53 74 106 148 212 296 424 592 848 1184 1696 1961 2521 3922 5042 7844 10084 15688 20168 31376 40336 62752 80672 93277 133613 186554 267226 373108 534452 746216 1068904 1492432 2137808 2984864 3161407 4275616 4943681 6322814 9887362 12645628 19774724 25291256 39549448 50582512 79098896 101165024 116972059 158197792 167554571 233944118 335109142 467888236 670218284 935776472 1340436568 1871552944 2680873136 3743105888 5361746272 6199519127 7969907047 12399038254 15939814094 24798076508 31879628188 49596153016 63759256376 99192306032 127518512752 198384612064 255037025504 294886560739 422405073491 589773121478 844810146982 1179546242956 1689620293964 2359092485912 3379240587928 4718184971824 6758481175856 9436369943648 13516962351712 15628987719167 31257975438334 62515950876668 125031901753336 250063803506672 500127607013344