Search a number
-
+
505406235000 = 23354186718047
BaseRepresentation
bin1110101101011001000…
…11110010000101111000
31210022112121222220110110
413112230203302011320
531240032444010000
61024102545344320
751341303054412
oct7265443620570
91708477886413
10505406235000
11185383709907
1281b4b6380a0
13388761c1bb4
141a66722d9b2
15d230580850
hex75ac8f2178

505406235000 has 160 divisors (see below), whose sum is σ = 1579822295040. Its totient is φ = 134695344000.

The previous prime is 505406234939. The next prime is 505406235011. The reversal of 505406235000 is 532604505.

505406235000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27995977 + ... + 28014023.

It is an arithmetic number, because the mean of its divisors is an integer number (9873889344).

Almost surely, 2505406235000 is an apocalyptic number.

505406235000 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 505406235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789911147520).

505406235000 is an abundant number, since it is smaller than the sum of its proper divisors (1074416060040).

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

505406235000 is a wasteful number, since it uses less digits than its factorization.

505406235000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19943 (or 19924 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 505406235000 its reverse (532604505), we get a palindrome (505938839505).

The spelling of 505406235000 in words is "five hundred five billion, four hundred six million, two hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1867 1875 2500 3000 3734 3750 5000 5601 7468 7500 9335 11202 14936 15000 18047 18670 22404 28005 36094 37340 44808 46675 54141 56010 72188 74680 90235 93350 108282 112020 140025 144376 180470 186700 216564 224040 233375 270705 280050 360940 373400 433128 451175 466750 541410 560100 700125 721880 902350 933500 1082820 1120200 1166875 1353525 1400250 1804700 1867000 2165640 2255875 2333750 2707050 2800500 3500625 3609400 4511750 4667500 5414100 5601000 6767625 7001250 9023500 9335000 10828200 11279375 13535250 14002500 18047000 22558750 27070500 28005000 33693749 33838125 45117500 54141000 67387498 67676250 90235000 101081247 134774996 135352500 168468745 202162494 269549992 270705000 336937490 404324988 505406235 673874980 808649976 842343725 1010812470 1347749960 1684687450 2021624940 2527031175 3369374900 4043249880 4211718625 5054062350 6738749800 8423437250 10108124700 12635155875 16846874500 20216249400 21058593125 25270311750 33693749000 42117186250 50540623500 63175779375 84234372500 101081247000 126351558750 168468745000 252703117500 505406235000