Search a number
-
+
504426154100 = 2252113729394217
BaseRepresentation
bin1110101011100100010…
…01000100100001110100
31210020000022210122012212
413111302021010201310
531231031043412400
61023421415032552
751305102364611
oct7256211044164
91706008718185
10504426154100
11184a204605a0
128191736b758
133874b13a37b
141a5b2dc9508
15d1c44d6335
hex7572244874

504426154100 has 144 divisors (see below), whose sum is σ = 1227095835840. Its totient is φ = 178367155200.

The previous prime is 504426154081. The next prime is 504426154153. The reversal of 504426154100 is 1451624405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119615192 + ... + 119619408.

It is an arithmetic number, because the mean of its divisors is an integer number (8521498860).

Almost surely, 2504426154100 is an apocalyptic number.

504426154100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504426154100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613547917920).

504426154100 is an abundant number, since it is smaller than the sum of its proper divisors (722669681740).

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

504426154100 is a wasteful number, since it uses less digits than its factorization.

504426154100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218 (or 7211 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 504426154100 its reverse (1451624405), we get a palindrome (505877778505).

The spelling of 504426154100 in words is "five hundred four billion, four hundred twenty-six million, one hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 740 814 925 1100 1628 1850 2035 2939 3700 4070 4217 5878 8140 8434 10175 11756 14695 16868 20350 21085 29390 32329 40700 42170 46387 58780 64658 73475 84340 92774 105425 108743 129316 146950 156029 161645 185548 210850 217486 231935 293900 312058 323290 421700 434972 463870 543715 624116 646580 780145 808225 927740 1087430 1159675 1196173 1560290 1616450 1716319 2174860 2319350 2392346 2718575 3120580 3232900 3432638 3900725 4638700 4784692 5437150 5980865 6865276 7801450 8581595 10874300 11961730 12393763 15602900 17163190 23923460 24787526 29904325 34326380 42907975 49575052 59808650 61968815 85815950 119617300 123937630 136331393 171631900 247875260 272662786 309844075 458569231 545325572 619688150 681656965 917138462 1239376300 1363313930 1834276924 2292846155 2726627860 3408284825 4585692310 5044261541 6816569650 9171384620 10088523082 11464230775 13633139300 20177046164 22928461550 25221307705 45856923100 50442615410 100885230820 126106538525 252213077050 504426154100