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53345104560 = 24325116735493
BaseRepresentation
bin110001101011100111…
…011011001010110000
312002200201020002102100
4301223213123022300
51333222321321220
640301214420400
73565640623116
oct615347331260
9162621202370
1053345104560
1120694a14680
12a409201700
135051ab5137
142820acbab6
1515c33a6d90
hexc6b9db2b0

53345104560 has 120 divisors (see below), whose sum is σ = 195437093904. Its totient is φ = 12932144640.

The previous prime is 53345104543. The next prime is 53345104567. The reversal of 53345104560 is 6540154335.

53345104560 is a `hidden beast` number, since 53 + 3 + 45 + 1 + 0 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (53345104567) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3359827 + ... + 3375666.

Almost surely, 253345104560 is an apocalyptic number.

It is an amenable number.

53345104560 is an abundant number, since it is smaller than the sum of its proper divisors (142091989344).

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

53345104560 is a wasteful number, since it uses less digits than its factorization.

53345104560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6735523 (or 6735514 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 53345104560 its reverse (6540154335), we get a palindrome (59885258895).

The spelling of 53345104560 in words is "fifty-three billion, three hundred forty-five million, one hundred four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 6735493 13470986 20206479 26941972 33677465 40412958 53883944 60619437 67354930 74090423 80825916 101032395 107767888 121238874 134709860 148180846 161651832 202064790 222271269 242477748 269419720 296361692 303097185 323303664 370452115 404129580 444542538 484955496 538839440 592723384 606194370 666813807 740904230 808259160 889085076 969910992 1111356345 1185446768 1212388740 1333627614 1481808460 1616518320 1778170152 2222712690 2424777480 2667255228 2963616920 3334069035 3556340304 4445425380 4849554960 5334510456 5927233840 6668138070 8890850760 10669020912 13336276140 17781701520 26672552280 53345104560