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12341663550 = 2335210785439
BaseRepresentation
bin10110111111001111…
…01101011100111110
31011212010000110122000
423133213231130332
5200233431213200
65400352403130
7614560260246
oct133747553476
934763013560
1012341663550
115263602547
1224852464a6
131218b8c3c8
14851158b26
154c375e300
hex2df9ed73e

12341663550 has 96 divisors (see below), whose sum is σ = 34326374400. Its totient is φ = 3260314080.

The previous prime is 12341663527. The next prime is 12341663563. The reversal of 12341663550 is 5536614321.

12341663550 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 16 + 635 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101731 + ... + 187169.

It is an arithmetic number, because the mean of its divisors is an integer number (357566400).

Almost surely, 212341663550 is an apocalyptic number.

12341663550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12341663550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17163187200).

12341663550 is an abundant number, since it is smaller than the sum of its proper divisors (21984710850).

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

12341663550 is a wasteful number, since it uses less digits than its factorization.

12341663550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85567 (or 85556 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

It can be divided in two parts, 123416 and 63550, that added together give a triangular number (186966 = T611).

The spelling of 12341663550 in words is "twelve billion, three hundred forty-one million, six hundred sixty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 107 135 150 214 225 270 321 450 535 642 675 963 1070 1350 1605 1926 2675 2889 3210 4815 5350 5778 8025 9630 14445 16050 24075 28890 48150 72225 85439 144450 170878 256317 427195 512634 768951 854390 1281585 1537902 2135975 2306853 2563170 3844755 4271950 4613706 6407925 7689510 9141973 11534265 12815850 18283946 19223775 23068530 27425919 38447550 45709865 54851838 57671325 82277757 91419730 115342650 137129595 164555514 228549325 246833271 274259190 411388785 457098650 493666542 685647975 822777570 1234166355 1371295950 2056943925 2468332710 4113887850 6170831775 12341663550