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55524440000340 = 22325974876529967
BaseRepresentation
bin11001001111111110010101…
…00001011100011101010100
321021121002021200122202111100
430213333022201130131110
524234203023120002330
6314031324155110100
714460336245554143
oct1447771241343524
9237532250582440
1055524440000340
1116767867952033
126289012742330
1324c9c1713966c
14d9d57c02775a
156644b891b060
hex327fca85c754

55524440000340 has 144 divisors (see below), whose sum is σ = 170509897539072. Its totient is φ = 14623780497408.

The previous prime is 55524440000303. The next prime is 55524440000369. The reversal of 55524440000340 is 4300004442555.

55524440000340 is a `hidden beast` number, since 5 + 5 + 5 + 244 + 400 + 0 + 0 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55524440000295 and 55524440000304.

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, 5238037 + ... + 11768003.

It is an arithmetic number, because the mean of its divisors is an integer number (1184096510688).

Almost surely, 255524440000340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55524440000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85254948769536).

55524440000340 is an abundant number, since it is smaller than the sum of its proper divisors (114985457538732).

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

55524440000340 is a wasteful number, since it uses less digits than its factorization.

55524440000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6530566 (or 6530561 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 55524440000340 its reverse (4300004442555), we get a palindrome (59824444442895).

The spelling of 55524440000340 in words is "fifty-five trillion, five hundred twenty-four billion, four hundred forty million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 487 582 873 970 974 1164 1455 1461 1746 1940 1948 2435 2910 2922 3492 4365 4383 4870 5820 5844 7305 8730 8766 9740 14610 17460 17532 21915 29220 43830 47239 87660 94478 141717 188956 236195 283434 425151 472390 566868 708585 850302 944780 1417170 1700604 2125755 2834340 4251510 6529967 8503020 13059934 19589901 26119868 32649835 39179802 58769703 65299670 78359604 97949505 117539406 130599340 195899010 235078812 293848515 391798020 587697030 633406799 1175394060 1266813598 1900220397 2533627196 3167033995 3180093929 3800440794 5700661191 6334067990 6360187858 7600881588 9501101985 9540281787 11401322382 12668135980 12720375716 15900469645 19002203970 19080563574 22802644764 28503305955 28620845361 31800939290 38004407940 38161127148 47701408935 57006611910 57241690722 63601878580 95402817870 114013223820 114483381444 143104226805 190805635740 286208453610 308469111113 572416907220 616938222226 925407333339 1233876444452 1542345555565 1850814666678 2776222000017 3084691111130 3701629333356 4627036666695 5552444000034 6169382222260 9254073333390 11104888000068 13881110000085 18508146666780 27762220000170 55524440000340