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12263553009440 = 255197938730271
BaseRepresentation
bin1011001001110101010010…
…1110001000011100100000
31121102101101002120011201022
42302131110232020130200
53101411224032300230
642025444245425012
72404004163434225
oct262352456103440
947371332504638
1012263553009440
1139a8a41a666a7
12146091310b168
136ac5a95a5695
143057b838d94c
1516400a9c61e5
hexb2754b88720

12263553009440 has 48 divisors (see below), whose sum is σ = 28987284775680. Its totient is φ = 4902942339840.

The previous prime is 12263553009371. The next prime is 12263553009457. The reversal of 12263553009440 is 4490035536221.

It is a happy number.

It is a super-2 number, since 2×122635530094402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12263553009391 and 12263553009400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19048496 + ... + 19681775.

It is an arithmetic number, because the mean of its divisors is an integer number (603901766160).

Almost surely, 212263553009440 is an apocalyptic number.

12263553009440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12263553009440 is an abundant number, since it is smaller than the sum of its proper divisors (16723731766240).

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

12263553009440 is a wasteful number, since it uses less digits than its factorization.

12263553009440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38732265 (or 38732257 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 12263553009440 in words is "twelve trillion, two hundred sixty-three billion, five hundred fifty-three million, nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1979 3958 7916 9895 15832 19790 31664 39580 63328 79160 158320 316640 38730271 77460542 154921084 193651355 309842168 387302710 619684336 774605420 1239368672 1549210840 3098421680 6196843360 76647206309 153294412618 306588825236 383236031545 613177650472 766472063090 1226355300944 1532944126180 2452710601888 3065888252360 6131776504720 12263553009440