Search a number
-
+
6024225635040 = 253512798822599
BaseRepresentation
bin101011110101001111111…
…0101000011101011100000
3210022220120122100022200110
41113222133311003223200
51242200103230310130
620451254022251320
71161143633004564
oct127523765035340
923286518308613
106024225635040
111a12950357638
12813650b86b40
1334910b31a6a2
1416b8073a16a4
15a6a85b98ab0
hex57a9fd43ae0

6024225635040 has 96 divisors (see below), whose sum is σ = 19125730713600. Its totient is φ = 1593810860544.

The previous prime is 6024225635023. The next prime is 6024225635081. The reversal of 6024225635040 is 405365224206.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 6024225635040.

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, 49350340 + ... + 49472259.

It is an arithmetic number, because the mean of its divisors is an integer number (199226361600).

Almost surely, 26024225635040 is an apocalyptic number.

6024225635040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6024225635040 is an abundant number, since it is smaller than the sum of its proper divisors (13101505078560).

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

6024225635040 is a wasteful number, since it uses less digits than its factorization.

6024225635040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98822744 (or 98822736 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 6024225635040 in words is "six trillion, twenty-four billion, two hundred twenty-five million, six hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 240 254 381 480 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 4064 5080 6096 7620 10160 12192 15240 20320 30480 60960 98822599 197645198 296467797 395290396 494112995 592935594 790580792 988225990 1185871188 1482338985 1581161584 1976451980 2371742376 2964677970 3162323168 3952903960 4743484752 5929355940 7905807920 9486969504 11858711880 12550470073 15811615840 23717423760 25100940146 37651410219 47434847520 50201880292 62752350365 75302820438 100403760584 125504700730 150605640876 188257051095 200807521168 251009401460 301211281752 376514102190 401615042336 502018802920 602422563504 753028204380 1004037605840 1204845127008 1506056408760 2008075211680 3012112817520 6024225635040